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Finding the Fourth Proportional to 782,134, 1,079,344.92 and 424,438

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Solution

The fourth proportional to 782,134, 1,079,344.92 and 424,438 is: 585,724.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,134 : 1,079,344.92 = 424,438 : x
  2. Step 2: Convert to fraction form
    782,134/1,079,344.92 = 424,438/x
  3. Step 3: Cross multiply
    782,134x = 1,079,344.92 × 424,438
  4. Step 4: Simplify right side
    782,134x = 458,114,999,154.96
  5. Step 5: Solve for x
    x = 458,114,999,154.96/782,134
  6. Step 6: Final answer
    x = 585,724.44

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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.