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Finding the Fourth Proportional to 391,113.17, 585,677.39 and 327,766.71

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Solution

The fourth proportional to 391,113.17, 585,677.39 and 327,766.71 is: 490,818.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,113.17 : 585,677.39 = 327,766.71 : x
  2. Step 2: Convert to fraction form
    391,113.17/585,677.39 = 327,766.71/x
  3. Step 3: Cross multiply
    391,113.17x = 585,677.39 × 327,766.71
  4. Step 4: Simplify right side
    391,113.17x = 191,965,552,061.10
  5. Step 5: Solve for x
    x = 191,965,552,061.10/391,113.17
  6. Step 6: Final answer
    x = 490,818.44

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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.