Here is a link to the census data on interracial marriages from 1960 - 1992.
The earlier data appears to be from census data, whereas the data from the 1990's is from the Current Population Survey conducted by the Bureau of the Census.
The data confirms my suspicions. Starting in the 1970's, black man-white woman marriages outnumbered white man-black woman marriages 2 to 1. Asian woman-white man marriages outnumbered white women-asian man marriages 2 to 1.
Census Data On Interracial Marriages
I would like to see the data for all couples, not just married couples. If anyone has a source for that data, please post a link.