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Finding the Fourth Proportional to 521,389.92, 782,637.92 and 461,805.24

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Solution

The fourth proportional to 521,389.92, 782,637.92 and 461,805.24 is: 693,197.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,389.92 : 782,637.92 = 461,805.24 : x
  2. Step 2: Convert to fraction form
    521,389.92/782,637.92 = 461,805.24/x
  3. Step 3: Cross multiply
    521,389.92x = 782,637.92 × 461,805.24
  4. Step 4: Simplify right side
    521,389.92x = 361,426,292,478.70
  5. Step 5: Solve for x
    x = 361,426,292,478.70/521,389.92
  6. Step 6: Final answer
    x = 693,197.70

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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.