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Finding the Fourth Proportional to 521,567.80, 782,351.71 and 284,781.31

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Solution

The fourth proportional to 521,567.80, 782,351.71 and 284,781.31 is: 427,171.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,567.80 : 782,351.71 = 284,781.31 : x
  2. Step 2: Convert to fraction form
    521,567.80/782,351.71 = 284,781.31/x
  3. Step 3: Cross multiply
    521,567.80x = 782,351.71 × 284,781.31
  4. Step 4: Simplify right side
    521,567.80x = 222,799,142,186.71
  5. Step 5: Solve for x
    x = 222,799,142,186.71/521,567.80
  6. Step 6: Final answer
    x = 427,171.97

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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.