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Finding the Fourth Proportional to 422,204.52, 633,358.98 and 137,923.68

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Solution

The fourth proportional to 422,204.52, 633,358.98 and 137,923.68 is: 206,902.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,204.52 : 633,358.98 = 137,923.68 : x
  2. Step 2: Convert to fraction form
    422,204.52/633,358.98 = 137,923.68/x
  3. Step 3: Cross multiply
    422,204.52x = 633,358.98 × 137,923.68
  4. Step 4: Simplify right side
    422,204.52x = 87,355,201,282.65
  5. Step 5: Solve for x
    x = 87,355,201,282.65/422,204.52
  6. Step 6: Final answer
    x = 206,902.57

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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.