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Finding the Fourth Proportional to 422,072.10, 582,462.90 and 231,087.06

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Solution

The fourth proportional to 422,072.10, 582,462.90 and 231,087.06 is: 318,902.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,072.10 : 582,462.90 = 231,087.06 : x
  2. Step 2: Convert to fraction form
    422,072.10/582,462.90 = 231,087.06/x
  3. Step 3: Cross multiply
    422,072.10x = 582,462.90 × 231,087.06
  4. Step 4: Simplify right side
    422,072.10x = 134,599,639,120.07
  5. Step 5: Solve for x
    x = 134,599,639,120.07/422,072.10
  6. Step 6: Final answer
    x = 318,902.01

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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.