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Finding the Fourth Proportional to 422,687.28, 583,311 and 231,700.08

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Solution

The fourth proportional to 422,687.28, 583,311 and 231,700.08 is: 319,747.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,687.28 : 583,311 = 231,700.08 : x
  2. Step 2: Convert to fraction form
    422,687.28/583,311 = 231,700.08/x
  3. Step 3: Cross multiply
    422,687.28x = 583,311 × 231,700.08
  4. Step 4: Simplify right side
    422,687.28x = 135,153,205,364.88
  5. Step 5: Solve for x
    x = 135,153,205,364.88/422,687.28
  6. Step 6: Final answer
    x = 319,747.51

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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.