Finding the Fourth Proportional to 256,005,126.52, 353,288,010.99 and 138,530,457.70
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Solution
The fourth proportional to 256,005,126.52, 353,288,010.99 and 138,530,457.70 is: 191,172,538.33
Step by Step Solution
- Step 1: Write the proportion equation
256,005,126.52 : 353,288,010.99 = 138,530,457.70 : x - Step 2: Convert to fraction form
256,005,126.52/353,288,010.99 = 138,530,457.70/x - Step 3: Cross multiply
256,005,126.52x = 353,288,010.99 × 138,530,457.70 - Step 4: Simplify right side
256,005,126.52x = 48,941,149,862,367,328 - Step 5: Solve for x
x = 48,941,149,862,367,328/256,005,126.52 - Step 6: Final answer
x = 191,172,538.33
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.