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Finding the Fourth Proportional to 431,636.82, 647,641.74 and 231,723.77

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Solution

The fourth proportional to 431,636.82, 647,641.74 and 231,723.77 is: 347,685.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,636.82 : 647,641.74 = 231,723.77 : x
  2. Step 2: Convert to fraction form
    431,636.82/647,641.74 = 231,723.77/x
  3. Step 3: Cross multiply
    431,636.82x = 647,641.74 × 231,723.77
  4. Step 4: Simplify right side
    431,636.82x = 150,073,982,363.95
  5. Step 5: Solve for x
    x = 150,073,982,363.95/431,636.82
  6. Step 6: Final answer
    x = 347,685.78

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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.