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Finding the Fourth Proportional to 422,184.90, 582,610.79 and 228,589.28

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Solution

The fourth proportional to 422,184.90, 582,610.79 and 228,589.28 is: 315,450.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,184.90 : 582,610.79 = 228,589.28 : x
  2. Step 2: Convert to fraction form
    422,184.90/582,610.79 = 228,589.28/x
  3. Step 3: Cross multiply
    422,184.90x = 582,610.79 × 228,589.28
  4. Step 4: Simplify right side
    422,184.90x = 133,178,581,006.33
  5. Step 5: Solve for x
    x = 133,178,581,006.33/422,184.90
  6. Step 6: Final answer
    x = 315,450.84

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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.