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Finding the Fourth Proportional to 422,757.58, 583,405.32 and 231,766.87

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Solution

The fourth proportional to 422,757.58, 583,405.32 and 231,766.87 is: 319,838.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,757.58 : 583,405.32 = 231,766.87 : x
  2. Step 2: Convert to fraction form
    422,757.58/583,405.32 = 231,766.87/x
  3. Step 3: Cross multiply
    422,757.58x = 583,405.32 × 231,766.87
  4. Step 4: Simplify right side
    422,757.58x = 135,214,024,957.75
  5. Step 5: Solve for x
    x = 135,214,024,957.75/422,757.58
  6. Step 6: Final answer
    x = 319,838.20

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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.