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Finding the Fourth Proportional to 394,043.26, 591,151.32 and 127,830.70

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Solution

The fourth proportional to 394,043.26, 591,151.32 and 127,830.70 is: 191,774.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,043.26 : 591,151.32 = 127,830.70 : x
  2. Step 2: Convert to fraction form
    394,043.26/591,151.32 = 127,830.70/x
  3. Step 3: Cross multiply
    394,043.26x = 591,151.32 × 127,830.70
  4. Step 4: Simplify right side
    394,043.26x = 75,567,287,041.52
  5. Step 5: Solve for x
    x = 75,567,287,041.52/394,043.26
  6. Step 6: Final answer
    x = 191,774.09

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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.