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Finding the Fourth Proportional to 431,665.20, 647,684.10 and 231,751.94

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Solution

The fourth proportional to 431,665.20, 647,684.10 and 231,751.94 is: 347,727.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,665.20 : 647,684.10 = 231,751.94 : x
  2. Step 2: Convert to fraction form
    431,665.20/647,684.10 = 231,751.94/x
  3. Step 3: Cross multiply
    431,665.20x = 647,684.10 × 231,751.94
  4. Step 4: Simplify right side
    431,665.20x = 150,102,043,443.73
  5. Step 5: Solve for x
    x = 150,102,043,443.73/431,665.20
  6. Step 6: Final answer
    x = 347,727.92

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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.