Finding the Fourth Proportional to 409,727,613.96, 565,438,824.90 and 233,542,194.12
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Solution
The fourth proportional to 409,727,613.96, 565,438,824.90 and 233,542,194.12 is: 322,296,616.85
Step by Step Solution
- Step 1: Write the proportion equation
409,727,613.96 : 565,438,824.90 = 233,542,194.12 : x - Step 2: Convert to fraction form
409,727,613.96/565,438,824.90 = 233,542,194.12/x - Step 3: Cross multiply
409,727,613.96x = 565,438,824.90 × 233,542,194.12 - Step 4: Simplify right side
409,727,613.96x = 132,053,823,807,780,480 - Step 5: Solve for x
x = 132,053,823,807,780,480/409,727,613.96 - Step 6: Final answer
x = 322,296,616.85
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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.