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Finding the Fourth Proportional to 521,508.78, 782,592.23 and 221,988.87

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Solution

The fourth proportional to 521,508.78, 782,592.23 and 221,988.87 is: 333,123.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,508.78 : 782,592.23 = 221,988.87 : x
  2. Step 2: Convert to fraction form
    521,508.78/782,592.23 = 221,988.87/x
  3. Step 3: Cross multiply
    521,508.78x = 782,592.23 × 221,988.87
  4. Step 4: Simplify right side
    521,508.78x = 173,726,765,363.45
  5. Step 5: Solve for x
    x = 173,726,765,363.45/521,508.78
  6. Step 6: Final answer
    x = 333,123.38

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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.