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Finding the Fourth Proportional to 422,397.97, 582,911.27 and 231,411.44

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Solution

The fourth proportional to 422,397.97, 582,911.27 and 231,411.44 is: 319,348.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,397.97 : 582,911.27 = 231,411.44 : x
  2. Step 2: Convert to fraction form
    422,397.97/582,911.27 = 231,411.44/x
  3. Step 3: Cross multiply
    422,397.97x = 582,911.27 × 231,411.44
  4. Step 4: Simplify right side
    422,397.97x = 134,892,337,550.94
  5. Step 5: Solve for x
    x = 134,892,337,550.94/422,397.97
  6. Step 6: Final answer
    x = 319,348.93

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1.5x scale

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.