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Finding the Fourth Proportional to 422,429.67, 633,785.99 and 138,133.35

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Solution

The fourth proportional to 422,429.67, 633,785.99 and 138,133.35 is: 207,246.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,429.67 : 633,785.99 = 138,133.35 : x
  2. Step 2: Convert to fraction form
    422,429.67/633,785.99 = 138,133.35/x
  3. Step 3: Cross multiply
    422,429.67x = 633,785.99 × 138,133.35
  4. Step 4: Simplify right side
    422,429.67x = 87,546,981,291.10
  5. Step 5: Solve for x
    x = 87,546,981,291.10/422,429.67
  6. Step 6: Final answer
    x = 207,246.29

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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.