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Finding the Fourth Proportional to 431,229.84, 646,943.13 and 131,752.95

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Solution

The fourth proportional to 431,229.84, 646,943.13 and 131,752.95 is: 197,659.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,229.84 : 646,943.13 = 131,752.95 : x
  2. Step 2: Convert to fraction form
    431,229.84/646,943.13 = 131,752.95/x
  3. Step 3: Cross multiply
    431,229.84x = 646,943.13 × 131,752.95
  4. Step 4: Simplify right side
    431,229.84x = 85,236,665,859.73
  5. Step 5: Solve for x
    x = 85,236,665,859.73/431,229.84
  6. Step 6: Final answer
    x = 197,659.48

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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.