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Finding the Fourth Proportional to 285,441.52, 428,145.80 and 85,757.52

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Solution

The fourth proportional to 285,441.52, 428,145.80 and 85,757.52 is: 128,631.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,441.52 : 428,145.80 = 85,757.52 : x
  2. Step 2: Convert to fraction form
    285,441.52/428,145.80 = 85,757.52/x
  3. Step 3: Cross multiply
    285,441.52x = 428,145.80 × 85,757.52
  4. Step 4: Simplify right side
    285,441.52x = 36,716,722,006.42
  5. Step 5: Solve for x
    x = 36,716,722,006.42/285,441.52
  6. Step 6: Final answer
    x = 128,631.33

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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.