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Finding the Fourth Proportional to 285,546.90, 428,321.32 and 72,314.73

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Solution

The fourth proportional to 285,546.90, 428,321.32 and 72,314.73 is: 108,472.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,546.90 : 428,321.32 = 72,314.73 : x
  2. Step 2: Convert to fraction form
    285,546.90/428,321.32 = 72,314.73/x
  3. Step 3: Cross multiply
    285,546.90x = 428,321.32 × 72,314.73
  4. Step 4: Simplify right side
    285,546.90x = 30,973,940,609.04
  5. Step 5: Solve for x
    x = 30,973,940,609.04/285,546.90
  6. Step 6: Final answer
    x = 108,472.34

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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.