The white race won't die for a long time, but with the slow white genocide going on, they will slowly pass away. Though, look at cases like Japan, they are bound to die away without immigration. So, it really depends on how the specific nationality behaves.
The white race has, on average, a lower birth rate than many of those who immigrant to the host country. The high standard of living in white countries do not matter much for the white because their birth rate will stay low, and in fact it will be more beneficial for the immigrants.
Japan and South Korea will never agree to mass immigration of course, they don't have anything of value and significance that matters in the global world.