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Finding the Fourth Proportional to 394,015.83, 591,106.77 and 127,755.58

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Solution

The fourth proportional to 394,015.83, 591,106.77 and 127,755.58 is: 191,660.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,015.83 : 591,106.77 = 127,755.58 : x
  2. Step 2: Convert to fraction form
    394,015.83/591,106.77 = 127,755.58/x
  3. Step 3: Cross multiply
    394,015.83x = 591,106.77 × 127,755.58
  4. Step 4: Simplify right side
    394,015.83x = 75,517,188,243.28
  5. Step 5: Solve for x
    x = 75,517,188,243.28/394,015.83
  6. Step 6: Final answer
    x = 191,660.29

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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.