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Finding the Fourth Proportional to 391,439, 540,186 and 212,591

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Solution

The fourth proportional to 391,439, 540,186 and 212,591 is: 293,375.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,439 : 540,186 = 212,591 : x
  2. Step 2: Convert to fraction form
    391,439/540,186 = 212,591/x
  3. Step 3: Cross multiply
    391,439x = 540,186 × 212,591
  4. Step 4: Simplify right side
    391,439x = 114,838,681,926
  5. Step 5: Solve for x
    x = 114,838,681,926/391,439
  6. Step 6: Final answer
    x = 293,375.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.