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Finding the Fourth Proportional to 422,205.28, 582,612.96 and 231,187.84

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Solution

The fourth proportional to 422,205.28, 582,612.96 and 231,187.84 is: 319,022.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,205.28 : 582,612.96 = 231,187.84 : x
  2. Step 2: Convert to fraction form
    422,205.28/582,612.96 = 231,187.84/x
  3. Step 3: Cross multiply
    422,205.28x = 582,612.96 × 231,187.84
  4. Step 4: Simplify right side
    422,205.28x = 134,693,031,778.41
  5. Step 5: Solve for x
    x = 134,693,031,778.41/422,205.28
  6. Step 6: Final answer
    x = 319,022.61

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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.