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Finding the Fourth Proportional to 422,272.63, 582,717 and 231,281.92

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Solution

The fourth proportional to 422,272.63, 582,717 and 231,281.92 is: 319,158.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,272.63 : 582,717 = 231,281.92 : x
  2. Step 2: Convert to fraction form
    422,272.63/582,717 = 231,281.92/x
  3. Step 3: Cross multiply
    422,272.63x = 582,717 × 231,281.92
  4. Step 4: Simplify right side
    422,272.63x = 134,771,906,576.64
  5. Step 5: Solve for x
    x = 134,771,906,576.64/422,272.63
  6. Step 6: Final answer
    x = 319,158.52

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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.