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Finding the Fourth Proportional to 322,137.78, 483,206.22 and 135,149.28

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Solution

The fourth proportional to 322,137.78, 483,206.22 and 135,149.28 is: 202,723.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,137.78 : 483,206.22 = 135,149.28 : x
  2. Step 2: Convert to fraction form
    322,137.78/483,206.22 = 135,149.28/x
  3. Step 3: Cross multiply
    322,137.78x = 483,206.22 × 135,149.28
  4. Step 4: Simplify right side
    322,137.78x = 65,304,972,724.52
  5. Step 5: Solve for x
    x = 65,304,972,724.52/322,137.78
  6. Step 6: Final answer
    x = 202,723.73

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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.