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Finding the Fourth Proportional to 431,508.64, 647,072.88 and 231,769.12

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Solution

The fourth proportional to 431,508.64, 647,072.88 and 231,769.12 is: 347,551.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,508.64 : 647,072.88 = 231,769.12 : x
  2. Step 2: Convert to fraction form
    431,508.64/647,072.88 = 231,769.12/x
  3. Step 3: Cross multiply
    431,508.64x = 647,072.88 × 231,769.12
  4. Step 4: Simplify right side
    431,508.64x = 149,971,511,973.47
  5. Step 5: Solve for x
    x = 149,971,511,973.47/431,508.64
  6. Step 6: Final answer
    x = 347,551.59

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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.