As described here bitmaps for different screen dencity values have following ratios: ldpi:mdpi:hdpi:xhdpi - 3:4:6:8.
I'd recommend you to use either some composite layout or layer-drawable
<?xml version="1.0" encoding="utf-8"?>
<layer-list xmlns:android="http://schemas.android.com/apk/res/android" >
<item>
<!-- background goes here -->
<shape android:shape="rectangle" >
<solid android:color="#000" />
</shape>
</item>
<item>
<!-- splash-screen image -->
<bitmap
xmlns:android="http://schemas.android.com/apk/res/android"
android:dither="true"
android:gravity="center"
android:src="@drawable/your_bitmap"
android:tileMode="disabled" >
</bitmap>
</item>
</layer-list>
your_bitmap stands for your splash screen art that exists in different resolutions, according to screen densities.