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Finding the Fourth Proportional to 422,165.52, 582,561.72 and 231,181.20

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Solution

The fourth proportional to 422,165.52, 582,561.72 and 231,181.20 is: 319,015.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,165.52 : 582,561.72 = 231,181.20 : x
  2. Step 2: Convert to fraction form
    422,165.52/582,561.72 = 231,181.20/x
  3. Step 3: Cross multiply
    422,165.52x = 582,561.72 × 231,181.20
  4. Step 4: Simplify right side
    422,165.52x = 134,677,317,503.66
  5. Step 5: Solve for x
    x = 134,677,317,503.66/422,165.52
  6. Step 6: Final answer
    x = 319,015.44

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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.