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Finding the Fourth Proportional to 285,375.59, 428,067.57 and 135,631.16

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Solution

The fourth proportional to 285,375.59, 428,067.57 and 135,631.16 is: 203,448.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,375.59 : 428,067.57 = 135,631.16 : x
  2. Step 2: Convert to fraction form
    285,375.59/428,067.57 = 135,631.16/x
  3. Step 3: Cross multiply
    285,375.59x = 428,067.57 × 135,631.16
  4. Step 4: Simplify right side
    285,375.59x = 58,059,298,937.14
  5. Step 5: Solve for x
    x = 58,059,298,937.14/285,375.59
  6. Step 6: Final answer
    x = 203,448.73

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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.