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Finding the Fourth Proportional to 394,081.56, 591,205.32 and 127,821.24

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Solution

The fourth proportional to 394,081.56, 591,205.32 and 127,821.24 is: 191,758.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,081.56 : 591,205.32 = 127,821.24 : x
  2. Step 2: Convert to fraction form
    394,081.56/591,205.32 = 127,821.24/x
  3. Step 3: Cross multiply
    394,081.56x = 591,205.32 × 127,821.24
  4. Step 4: Simplify right side
    394,081.56x = 75,568,597,097.00
  5. Step 5: Solve for x
    x = 75,568,597,097.00/394,081.56
  6. Step 6: Final answer
    x = 191,758.77

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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.