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Finding the Fourth Proportional to 394,461.20, 591,691.80 and 141,862.70

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Solution

The fourth proportional to 394,461.20, 591,691.80 and 141,862.70 is: 212,794.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,461.20 : 591,691.80 = 141,862.70 : x
  2. Step 2: Convert to fraction form
    394,461.20/591,691.80 = 141,862.70/x
  3. Step 3: Cross multiply
    394,461.20x = 591,691.80 × 141,862.70
  4. Step 4: Simplify right side
    394,461.20x = 83,938,996,315.86
  5. Step 5: Solve for x
    x = 83,938,996,315.86/394,461.20
  6. Step 6: Final answer
    x = 212,794.05

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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.