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Finding the Fourth Proportional to 392,081.22, 588,198.41 and 125,821.26

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Solution

The fourth proportional to 392,081.22, 588,198.41 and 125,821.26 is: 188,756.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,081.22 : 588,198.41 = 125,821.26 : x
  2. Step 2: Convert to fraction form
    392,081.22/588,198.41 = 125,821.26/x
  3. Step 3: Cross multiply
    392,081.22x = 588,198.41 × 125,821.26
  4. Step 4: Simplify right side
    392,081.22x = 74,007,864,918.92
  5. Step 5: Solve for x
    x = 74,007,864,918.92/392,081.22
  6. Step 6: Final answer
    x = 188,756.46

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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.