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Finding the Fourth Proportional to 422,133.92, 582,558 and 231,165.44

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Solution

The fourth proportional to 422,133.92, 582,558 and 231,165.44 is: 319,015.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,133.92 : 582,558 = 231,165.44 : x
  2. Step 2: Convert to fraction form
    422,133.92/582,558 = 231,165.44/x
  3. Step 3: Cross multiply
    422,133.92x = 582,558 × 231,165.44
  4. Step 4: Simplify right side
    422,133.92x = 134,667,276,395.52
  5. Step 5: Solve for x
    x = 134,667,276,395.52/422,133.92
  6. Step 6: Final answer
    x = 319,015.53

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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.