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Finding the Fourth Proportional to 285,391.95, 428,053.87 and 75,046.29

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Solution

The fourth proportional to 285,391.95, 428,053.87 and 75,046.29 is: 112,560.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,391.95 : 428,053.87 = 75,046.29 : x
  2. Step 2: Convert to fraction form
    285,391.95/428,053.87 = 75,046.29/x
  3. Step 3: Cross multiply
    285,391.95x = 428,053.87 × 75,046.29
  4. Step 4: Simplify right side
    285,391.95x = 32,123,854,863.64
  5. Step 5: Solve for x
    x = 32,123,854,863.64/285,391.95
  6. Step 6: Final answer
    x = 112,560.48

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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.