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Finding the Fourth Proportional to 422,378.15, 633,517.94 and 169,648.43

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Solution

The fourth proportional to 422,378.15, 633,517.94 and 169,648.43 is: 254,452.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,378.15 : 633,517.94 = 169,648.43 : x
  2. Step 2: Convert to fraction form
    422,378.15/633,517.94 = 169,648.43/x
  3. Step 3: Cross multiply
    422,378.15x = 633,517.94 × 169,648.43
  4. Step 4: Simplify right side
    422,378.15x = 107,475,321,154.37
  5. Step 5: Solve for x
    x = 107,475,321,154.37/422,378.15
  6. Step 6: Final answer
    x = 254,452.85

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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.