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Finding the Fourth Proportional to 394,082.60, 591,210.30 and 127,797.80

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Solution

The fourth proportional to 394,082.60, 591,210.30 and 127,797.80 is: 191,724.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,082.60 : 591,210.30 = 127,797.80 : x
  2. Step 2: Convert to fraction form
    394,082.60/591,210.30 = 127,797.80/x
  3. Step 3: Cross multiply
    394,082.60x = 591,210.30 × 127,797.80
  4. Step 4: Simplify right side
    394,082.60x = 75,555,375,677.34
  5. Step 5: Solve for x
    x = 75,555,375,677.34/394,082.60
  6. Step 6: Final answer
    x = 191,724.72

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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.