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Finding the Fourth Proportional to 424,782, 585,778.96 and 387,914.04

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Solution

The fourth proportional to 424,782, 585,778.96 and 387,914.04 is: 534,937.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,782 : 585,778.96 = 387,914.04 : x
  2. Step 2: Convert to fraction form
    424,782/585,778.96 = 387,914.04/x
  3. Step 3: Cross multiply
    424,782x = 585,778.96 × 387,914.04
  4. Step 4: Simplify right side
    424,782x = 227,231,882,920.60
  5. Step 5: Solve for x
    x = 227,231,882,920.60/424,782
  6. Step 6: Final answer
    x = 534,937.65

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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.