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Finding the Fourth Proportional to 422,074.87, 582,440.25 and 231,051.31

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Solution

The fourth proportional to 422,074.87, 582,440.25 and 231,051.31 is: 318,838.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,074.87 : 582,440.25 = 231,051.31 : x
  2. Step 2: Convert to fraction form
    422,074.87/582,440.25 = 231,051.31/x
  3. Step 3: Cross multiply
    422,074.87x = 582,440.25 × 231,051.31
  4. Step 4: Simplify right side
    422,074.87x = 134,573,582,759.23
  5. Step 5: Solve for x
    x = 134,573,582,759.23/422,074.87
  6. Step 6: Final answer
    x = 318,838.18

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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.