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Finding the Fourth Proportional to 422,750.85, 583,396.17 and 231,765.57

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Solution

The fourth proportional to 422,750.85, 583,396.17 and 231,765.57 is: 319,836.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,750.85 : 583,396.17 = 231,765.57 : x
  2. Step 2: Convert to fraction form
    422,750.85/583,396.17 = 231,765.57/x
  3. Step 3: Cross multiply
    422,750.85x = 583,396.17 × 231,765.57
  4. Step 4: Simplify right side
    422,750.85x = 135,211,145,875.87
  5. Step 5: Solve for x
    x = 135,211,145,875.87/422,750.85
  6. Step 6: Final answer
    x = 319,836.48

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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.