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Finding the Fourth Proportional to 394,496.70, 591,745.05 and 128,265.90

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Solution

The fourth proportional to 394,496.70, 591,745.05 and 128,265.90 is: 192,398.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,496.70 : 591,745.05 = 128,265.90 : x
  2. Step 2: Convert to fraction form
    394,496.70/591,745.05 = 128,265.90/x
  3. Step 3: Cross multiply
    394,496.70x = 591,745.05 × 128,265.90
  4. Step 4: Simplify right side
    394,496.70x = 75,900,711,408.80
  5. Step 5: Solve for x
    x = 75,900,711,408.80/394,496.70
  6. Step 6: Final answer
    x = 192,398.85

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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.