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Finding the Fourth Proportional to 285,553.70, 428,330.55 and 75,212.90

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Solution

The fourth proportional to 285,553.70, 428,330.55 and 75,212.90 is: 112,819.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,553.70 : 428,330.55 = 75,212.90 : x
  2. Step 2: Convert to fraction form
    285,553.70/428,330.55 = 75,212.90/x
  3. Step 3: Cross multiply
    285,553.70x = 428,330.55 × 75,212.90
  4. Step 4: Simplify right side
    285,553.70x = 32,215,982,824.10
  5. Step 5: Solve for x
    x = 32,215,982,824.10/285,553.70
  6. Step 6: Final answer
    x = 112,819.35

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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.