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Finding the Fourth Proportional to 422,015.30, 582,381.12 and 231,028.68

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Solution

The fourth proportional to 422,015.30, 582,381.12 and 231,028.68 is: 318,819.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,015.30 : 582,381.12 = 231,028.68 : x
  2. Step 2: Convert to fraction form
    422,015.30/582,381.12 = 231,028.68/x
  3. Step 3: Cross multiply
    422,015.30x = 582,381.12 × 231,028.68
  4. Step 4: Simplify right side
    422,015.30x = 134,546,744,460.81
  5. Step 5: Solve for x
    x = 134,546,744,460.81/422,015.30
  6. Step 6: Final answer
    x = 318,819.59

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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.