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Finding the Fourth Proportional to 394,078.60, 591,204.30 and 127,793.80

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Solution

The fourth proportional to 394,078.60, 591,204.30 and 127,793.80 is: 191,718.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,078.60 : 591,204.30 = 127,793.80 : x
  2. Step 2: Convert to fraction form
    394,078.60/591,204.30 = 127,793.80/x
  3. Step 3: Cross multiply
    394,078.60x = 591,204.30 × 127,793.80
  4. Step 4: Simplify right side
    394,078.60x = 75,552,244,073.34
  5. Step 5: Solve for x
    x = 75,552,244,073.34/394,078.60
  6. Step 6: Final answer
    x = 191,718.72

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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.