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Finding the Fourth Proportional to 422,178.36, 582,600.24 and 231,191.70

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Solution

The fourth proportional to 422,178.36, 582,600.24 and 231,191.70 is: 319,041.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,178.36 : 582,600.24 = 231,191.70 : x
  2. Step 2: Convert to fraction form
    422,178.36/582,600.24 = 231,191.70/x
  3. Step 3: Cross multiply
    422,178.36x = 582,600.24 × 231,191.70
  4. Step 4: Simplify right side
    422,178.36x = 134,692,339,906.01
  5. Step 5: Solve for x
    x = 134,692,339,906.01/422,178.36
  6. Step 6: Final answer
    x = 319,041.32

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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.