Finding the Fourth Proportional to 505,527,502.60, 758,291,253.90 and 413,694,497.80
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Solution
The fourth proportional to 505,527,502.60, 758,291,253.90 and 413,694,497.80 is: 620,541,746.70
Step by Step Solution
- Step 1: Write the proportion equation
505,527,502.60 : 758,291,253.90 = 413,694,497.80 : x - Step 2: Convert to fraction form
505,527,502.60/758,291,253.90 = 413,694,497.80/x - Step 3: Cross multiply
505,527,502.60x = 758,291,253.90 × 413,694,497.80 - Step 4: Simplify right side
505,527,502.60x = 313,700,919,468,292,800 - Step 5: Solve for x
x = 313,700,919,468,292,800/505,527,502.60 - Step 6: Final answer
x = 620,541,746.70
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1.5x scale
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.