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Finding the Fourth Proportional to 422,725.91, 583,375.19 and 231,737.63

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Solution

The fourth proportional to 422,725.91, 583,375.19 and 231,737.63 is: 319,805.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,725.91 : 583,375.19 = 231,737.63 : x
  2. Step 2: Convert to fraction form
    422,725.91/583,375.19 = 231,737.63/x
  3. Step 3: Cross multiply
    422,725.91x = 583,375.19 × 231,737.63
  4. Step 4: Simplify right side
    422,725.91x = 135,189,979,855.84
  5. Step 5: Solve for x
    x = 135,189,979,855.84/422,725.91
  6. Step 6: Final answer
    x = 319,805.29

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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.