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Finding the Fourth Proportional to 422,012.78, 582,376.66 and 231,024.50

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Solution

The fourth proportional to 422,012.78, 582,376.66 and 231,024.50 is: 318,813.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,012.78 : 582,376.66 = 231,024.50 : x
  2. Step 2: Convert to fraction form
    422,012.78/582,376.66 = 231,024.50/x
  3. Step 3: Cross multiply
    422,012.78x = 582,376.66 × 231,024.50
  4. Step 4: Simplify right side
    422,012.78x = 134,543,273,198.73
  5. Step 5: Solve for x
    x = 134,543,273,198.73/422,012.78
  6. Step 6: Final answer
    x = 318,813.27

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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.