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Finding the Fourth Proportional to 394,305.48, 591,627.68 and 128,147.56

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Solution

The fourth proportional to 394,305.48, 591,627.68 and 128,147.56 is: 192,276.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,305.48 : 591,627.68 = 128,147.56 : x
  2. Step 2: Convert to fraction form
    394,305.48/591,627.68 = 128,147.56/x
  3. Step 3: Cross multiply
    394,305.48x = 591,627.68 × 128,147.56
  4. Step 4: Simplify right side
    394,305.48x = 75,815,643,620.46
  5. Step 5: Solve for x
    x = 75,815,643,620.46/394,305.48
  6. Step 6: Final answer
    x = 192,276.41

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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.