Finding the Fourth Proportional to 431,413,792.20, 647,120,688.30 and 299,403,847.80
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Solution
The fourth proportional to 431,413,792.20, 647,120,688.30 and 299,403,847.80 is: 449,105,771.70
Step by Step Solution
- Step 1: Write the proportion equation
431,413,792.20 : 647,120,688.30 = 299,403,847.80 : x - Step 2: Convert to fraction form
431,413,792.20/647,120,688.30 = 299,403,847.80/x - Step 3: Cross multiply
431,413,792.20x = 647,120,688.30 × 299,403,847.80 - Step 4: Simplify right side
431,413,792.20x = 193,750,424,068,004,448 - Step 5: Solve for x
x = 193,750,424,068,004,448/431,413,792.20 - Step 6: Final answer
x = 449,105,771.70
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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.