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Finding the Fourth Proportional to 422,376.88, 582,855.60 and 231,357

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Solution

The fourth proportional to 422,376.88, 582,855.60 and 231,357 is: 319,259.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,376.88 : 582,855.60 = 231,357 : x
  2. Step 2: Convert to fraction form
    422,376.88/582,855.60 = 231,357/x
  3. Step 3: Cross multiply
    422,376.88x = 582,855.60 × 231,357
  4. Step 4: Simplify right side
    422,376.88x = 134,847,723,049.20
  5. Step 5: Solve for x
    x = 134,847,723,049.20/422,376.88
  6. Step 6: Final answer
    x = 319,259.24

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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.