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Finding the Fourth Proportional to 726,394, 1,002,423.72 and 408,442

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Solution

The fourth proportional to 726,394, 1,002,423.72 and 408,442 is: 563,649.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,394 : 1,002,423.72 = 408,442 : x
  2. Step 2: Convert to fraction form
    726,394/1,002,423.72 = 408,442/x
  3. Step 3: Cross multiply
    726,394x = 1,002,423.72 × 408,442
  4. Step 4: Simplify right side
    726,394x = 409,431,949,044.24
  5. Step 5: Solve for x
    x = 409,431,949,044.24/726,394
  6. Step 6: Final answer
    x = 563,649.96

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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.