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Finding the Fourth Proportional to 394,101.22, 591,234.86 and 127,840.95

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Solution

The fourth proportional to 394,101.22, 591,234.86 and 127,840.95 is: 191,788.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,101.22 : 591,234.86 = 127,840.95 : x
  2. Step 2: Convert to fraction form
    394,101.22/591,234.86 = 127,840.95/x
  3. Step 3: Cross multiply
    394,101.22x = 591,234.86 × 127,840.95
  4. Step 4: Simplify right side
    394,101.22x = 75,584,026,175.52
  5. Step 5: Solve for x
    x = 75,584,026,175.52/394,101.22
  6. Step 6: Final answer
    x = 191,788.36

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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.