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Finding the Fourth Proportional to 422,051.82, 582,408.56 and 231,028.32

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Solution

The fourth proportional to 422,051.82, 582,408.56 and 231,028.32 is: 318,806.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,051.82 : 582,408.56 = 231,028.32 : x
  2. Step 2: Convert to fraction form
    422,051.82/582,408.56 = 231,028.32/x
  3. Step 3: Cross multiply
    422,051.82x = 582,408.56 × 231,028.32
  4. Step 4: Simplify right side
    422,051.82x = 134,552,871,170.42
  5. Step 5: Solve for x
    x = 134,552,871,170.42/422,051.82
  6. Step 6: Final answer
    x = 318,806.52

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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.