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Finding the Fourth Proportional to 422,289.64, 582,734.82 and 231,265

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Solution

The fourth proportional to 422,289.64, 582,734.82 and 231,265 is: 319,132.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,289.64 : 582,734.82 = 231,265 : x
  2. Step 2: Convert to fraction form
    422,289.64/582,734.82 = 231,265/x
  3. Step 3: Cross multiply
    422,289.64x = 582,734.82 × 231,265
  4. Step 4: Simplify right side
    422,289.64x = 134,766,168,147.30
  5. Step 5: Solve for x
    x = 134,766,168,147.30/422,289.64
  6. Step 6: Final answer
    x = 319,132.07

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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.