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Finding the Fourth Proportional to 394,481.70, 591,722.55 and 141,883.20

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Solution

The fourth proportional to 394,481.70, 591,722.55 and 141,883.20 is: 212,824.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,481.70 : 591,722.55 = 141,883.20 : x
  2. Step 2: Convert to fraction form
    394,481.70/591,722.55 = 141,883.20/x
  3. Step 3: Cross multiply
    394,481.70x = 591,722.55 × 141,883.20
  4. Step 4: Simplify right side
    394,481.70x = 83,955,488,906.16
  5. Step 5: Solve for x
    x = 83,955,488,906.16/394,481.70
  6. Step 6: Final answer
    x = 212,824.80

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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.