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Finding the Fourth Proportional to 521,446.50, 719,596.17 and 282,982.50

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Solution

The fourth proportional to 521,446.50, 719,596.17 and 282,982.50 is: 390,515.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,446.50 : 719,596.17 = 282,982.50 : x
  2. Step 2: Convert to fraction form
    521,446.50/719,596.17 = 282,982.50/x
  3. Step 3: Cross multiply
    521,446.50x = 719,596.17 × 282,982.50
  4. Step 4: Simplify right side
    521,446.50x = 203,633,123,177.03
  5. Step 5: Solve for x
    x = 203,633,123,177.03/521,446.50
  6. Step 6: Final answer
    x = 390,515.85

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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.