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Finding the Fourth Proportional to 422,382.90, 582,421.42 and 269,178.54

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Solution

The fourth proportional to 422,382.90, 582,421.42 and 269,178.54 is: 371,168.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,382.90 : 582,421.42 = 269,178.54 : x
  2. Step 2: Convert to fraction form
    422,382.90/582,421.42 = 269,178.54/x
  3. Step 3: Cross multiply
    422,382.90x = 582,421.42 × 269,178.54
  4. Step 4: Simplify right side
    422,382.90x = 156,775,344,588.22
  5. Step 5: Solve for x
    x = 156,775,344,588.22/422,382.90
  6. Step 6: Final answer
    x = 371,168.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.