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Finding the Fourth Proportional to 422,759.60, 583,408.08 and 231,768.88

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Solution

The fourth proportional to 422,759.60, 583,408.08 and 231,768.88 is: 319,840.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,759.60 : 583,408.08 = 231,768.88 : x
  2. Step 2: Convert to fraction form
    422,759.60/583,408.08 = 231,768.88/x
  3. Step 3: Cross multiply
    422,759.60x = 583,408.08 × 231,768.88
  4. Step 4: Simplify right side
    422,759.60x = 135,215,837,284.55
  5. Step 5: Solve for x
    x = 135,215,837,284.55/422,759.60
  6. Step 6: Final answer
    x = 319,840.96

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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.