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Finding the Fourth Proportional to 431,627.49, 647,203.10 and 231,891.21

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Solution

The fourth proportional to 431,627.49, 647,203.10 and 231,891.21 is: 347,708.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,627.49 : 647,203.10 = 231,891.21 : x
  2. Step 2: Convert to fraction form
    431,627.49/647,203.10 = 231,891.21/x
  3. Step 3: Cross multiply
    431,627.49x = 647,203.10 × 231,891.21
  4. Step 4: Simplify right side
    431,627.49x = 150,080,708,815.30
  5. Step 5: Solve for x
    x = 150,080,708,815.30/431,627.49
  6. Step 6: Final answer
    x = 347,708.87

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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.