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Finding the Fourth Proportional to 394,082.38, 591,206.71 and 127,822.22

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Solution

The fourth proportional to 394,082.38, 591,206.71 and 127,822.22 is: 191,760.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,082.38 : 591,206.71 = 127,822.22 : x
  2. Step 2: Convert to fraction form
    394,082.38/591,206.71 = 127,822.22/x
  3. Step 3: Cross multiply
    394,082.38x = 591,206.71 × 127,822.22
  4. Step 4: Simplify right side
    394,082.38x = 75,569,354,151.10
  5. Step 5: Solve for x
    x = 75,569,354,151.10/394,082.38
  6. Step 6: Final answer
    x = 191,760.30

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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.