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Finding the Fourth Proportional to 285,517.34, 428,242.89 and 75,171.68

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Solution

The fourth proportional to 285,517.34, 428,242.89 and 75,171.68 is: 112,748.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,517.34 : 428,242.89 = 75,171.68 : x
  2. Step 2: Convert to fraction form
    285,517.34/428,242.89 = 75,171.68/x
  3. Step 3: Cross multiply
    285,517.34x = 428,242.89 × 75,171.68
  4. Step 4: Simplify right side
    285,517.34x = 32,191,737,489.36
  5. Step 5: Solve for x
    x = 32,191,737,489.36/285,517.34
  6. Step 6: Final answer
    x = 112,748.80

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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.