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Finding the Fourth Proportional to 322,138.28, 483,206.96 and 135,149.78

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Solution

The fourth proportional to 322,138.28, 483,206.96 and 135,149.78 is: 202,724.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,138.28 : 483,206.96 = 135,149.78 : x
  2. Step 2: Convert to fraction form
    322,138.28/483,206.96 = 135,149.78/x
  3. Step 3: Cross multiply
    322,138.28x = 483,206.96 × 135,149.78
  4. Step 4: Simplify right side
    322,138.28x = 65,305,314,338.47
  5. Step 5: Solve for x
    x = 65,305,314,338.47/322,138.28
  6. Step 6: Final answer
    x = 202,724.48

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1.5x scale

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.