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Finding the Fourth Proportional to 422,160.72, 582,588.63 and 231,170.82

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Solution

The fourth proportional to 422,160.72, 582,588.63 and 231,170.82 is: 319,019.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,160.72 : 582,588.63 = 231,170.82 : x
  2. Step 2: Convert to fraction form
    422,160.72/582,588.63 = 231,170.82/x
  3. Step 3: Cross multiply
    422,160.72x = 582,588.63 × 231,170.82
  4. Step 4: Simplify right side
    422,160.72x = 134,677,491,319.78
  5. Step 5: Solve for x
    x = 134,677,491,319.78/422,160.72
  6. Step 6: Final answer
    x = 319,019.48

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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.