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Finding the Fourth Proportional to 422,213.52, 633,372.48 and 137,932.68

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Solution

The fourth proportional to 422,213.52, 633,372.48 and 137,932.68 is: 206,916.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,213.52 : 633,372.48 = 137,932.68 : x
  2. Step 2: Convert to fraction form
    422,213.52/633,372.48 = 137,932.68/x
  3. Step 3: Cross multiply
    422,213.52x = 633,372.48 × 137,932.68
  4. Step 4: Simplify right side
    422,213.52x = 87,362,763,604.65
  5. Step 5: Solve for x
    x = 87,362,763,604.65/422,213.52
  6. Step 6: Final answer
    x = 206,916.07

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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.