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Finding the Fourth Proportional to 285,857.88, 428,747.10 and 200,209.32

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Solution

The fourth proportional to 285,857.88, 428,747.10 and 200,209.32 is: 300,286.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,857.88 : 428,747.10 = 200,209.32 : x
  2. Step 2: Convert to fraction form
    285,857.88/428,747.10 = 200,209.32/x
  3. Step 3: Cross multiply
    285,857.88x = 428,747.10 × 200,209.32
  4. Step 4: Simplify right side
    285,857.88x = 85,839,165,342.97
  5. Step 5: Solve for x
    x = 85,839,165,342.97/285,857.88
  6. Step 6: Final answer
    x = 300,286.16

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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.