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Finding the Fourth Proportional to 422,123.28, 582,524.32 and 231,136.68

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Solution

The fourth proportional to 422,123.28, 582,524.32 and 231,136.68 is: 318,965.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,123.28 : 582,524.32 = 231,136.68 : x
  2. Step 2: Convert to fraction form
    422,123.28/582,524.32 = 231,136.68/x
  3. Step 3: Cross multiply
    422,123.28x = 582,524.32 × 231,136.68
  4. Step 4: Simplify right side
    422,123.28x = 134,642,737,344.06
  5. Step 5: Solve for x
    x = 134,642,737,344.06/422,123.28
  6. Step 6: Final answer
    x = 318,965.44

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