Finding the Fourth Proportional to 2,231,514,575.19, 3,347,756,138.43 and 678,765,540.31
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Solution
The fourth proportional to 2,231,514,575.19, 3,347,756,138.43 and 678,765,540.31 is: 1,018,295,613.83
Step by Step Solution
- Step 1: Write the proportion equation
2,231,514,575.19 : 3,347,756,138.43 = 678,765,540.31 : x - Step 2: Convert to fraction form
2,231,514,575.19/3,347,756,138.43 = 678,765,540.31/x - Step 3: Cross multiply
2,231,514,575.19x = 3,347,756,138.43 × 678,765,540.31 - Step 4: Simplify right side
2,231,514,575.19x = 2,272,341,504,119,188,736 - Step 5: Solve for x
x = 2,272,341,504,119,188,736/2,231,514,575.19 - Step 6: Final answer
x = 1,018,295,613.83
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.