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Finding the Fourth Proportional to 521,563.29, 782,344.95 and 284,776.80

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Solution

The fourth proportional to 521,563.29, 782,344.95 and 284,776.80 is: 427,165.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,563.29 : 782,344.95 = 284,776.80 : x
  2. Step 2: Convert to fraction form
    521,563.29/782,344.95 = 284,776.80/x
  3. Step 3: Cross multiply
    521,563.29x = 782,344.95 × 284,776.80
  4. Step 4: Simplify right side
    521,563.29x = 222,793,687,355.45
  5. Step 5: Solve for x
    x = 222,793,687,355.45/521,563.29
  6. Step 6: Final answer
    x = 427,165.20

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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.