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Finding the Fourth Proportional to 422,120.92, 582,521.08 and 231,134.30

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Solution

The fourth proportional to 422,120.92, 582,521.08 and 231,134.30 is: 318,962.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,120.92 : 582,521.08 = 231,134.30 : x
  2. Step 2: Convert to fraction form
    422,120.92/582,521.08 = 231,134.30/x
  3. Step 3: Cross multiply
    422,120.92x = 582,521.08 × 231,134.30
  4. Step 4: Simplify right side
    422,120.92x = 134,640,602,061.04
  5. Step 5: Solve for x
    x = 134,640,602,061.04/422,120.92
  6. Step 6: Final answer
    x = 318,962.16

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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.