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Finding the Fourth Proportional to 422,012.60, 582,373.50 and 231,025.40

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Solution

The fourth proportional to 422,012.60, 582,373.50 and 231,025.40 is: 318,812.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,012.60 : 582,373.50 = 231,025.40 : x
  2. Step 2: Convert to fraction form
    422,012.60/582,373.50 = 231,025.40/x
  3. Step 3: Cross multiply
    422,012.60x = 582,373.50 × 231,025.40
  4. Step 4: Simplify right side
    422,012.60x = 134,543,070,786.90
  5. Step 5: Solve for x
    x = 134,543,070,786.90/422,012.60
  6. Step 6: Final answer
    x = 318,812.92

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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.