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Finding the Fourth Proportional to 422,231, 582,685.10 and 231,262.20

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Solution

The fourth proportional to 422,231, 582,685.10 and 231,262.20 is: 319,145.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,231 : 582,685.10 = 231,262.20 : x
  2. Step 2: Convert to fraction form
    422,231/582,685.10 = 231,262.20/x
  3. Step 3: Cross multiply
    422,231x = 582,685.10 × 231,262.20
  4. Step 4: Simplify right side
    422,231x = 134,753,038,133.22
  5. Step 5: Solve for x
    x = 134,753,038,133.22/422,231
  6. Step 6: Final answer
    x = 319,145.30

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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.