The Quran directly addresses the matter of polygyny in Chapter 4 Verse 3, "... Despite the Quranic text that seem to detest interfaith marriage, a growing movement of modern Islamic scholars are beginning to reinterpret and reexamine traditional Shari'a interpretations.Marry of the women that you please: two, three, or four. While these scholars use "established and approved methodologies" in order to claim new conclusions, they are still met with a considerable amount of opposition from the majority of orthodox Islamic scholars and interpreters.
In Islam, polygyny is allowed with certain restrictions; polyandry is not. That is Allah's judgment; He judges between you, and Allah is Knowing, Wise.If by dating you mean old style courting, where the male and female speak politely with a chaperone, this would be allowed by many opinions (but not all!I recall reading in The Reliance of the Traveller that a woman is not to talk to a non-mahram, even to reply to his salaams).(Lawful to you in marriage) are chaste women from the believers and chaste women from those who were given the Scripture (Jews and Christians) before your time, when you have given their due mahr (bridal money given by the husband to the wife at the time of marriage), desiring chastity (i.e., taking them in legal wedlock), not committing illegal sexual intercourse, nor taking them as girlfriends.And whosoever disbelieves in the Oneness of Allaah and in all the other Articles of Faith, the fruitless is his work, and in the Hereafter he will be among the losers.” [al-Maa’idah 5:5] Ibn Katheer (may Allaah have mercy on him) said: “Muhsineen ghayr musaafiheen wa laa muttakhidhi akhdaan (‘desiring chastity (i.e., taking them in legal wedlock), not committing illegal sexual intercourse, nor taking them as girlfriends’).