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Finding the Fourth Proportional to 422,065.21, 582,449.72 and 231,078.55

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Solution

The fourth proportional to 422,065.21, 582,449.72 and 231,078.55 is: 318,888.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,065.21 : 582,449.72 = 231,078.55 : x
  2. Step 2: Convert to fraction form
    422,065.21/582,449.72 = 231,078.55/x
  3. Step 3: Cross multiply
    422,065.21x = 582,449.72 × 231,078.55
  4. Step 4: Simplify right side
    422,065.21x = 134,591,636,745.51
  5. Step 5: Solve for x
    x = 134,591,636,745.51/422,065.21
  6. Step 6: Final answer
    x = 318,888.25

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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.