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Finding the Fourth Proportional to 502,372.84, 693,234.30 and 287,463.64

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Solution

The fourth proportional to 502,372.84, 693,234.30 and 287,463.64 is: 396,676.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,372.84 : 693,234.30 = 287,463.64 : x
  2. Step 2: Convert to fraction form
    502,372.84/693,234.30 = 287,463.64/x
  3. Step 3: Cross multiply
    502,372.84x = 693,234.30 × 287,463.64
  4. Step 4: Simplify right side
    502,372.84x = 199,279,655,250.85
  5. Step 5: Solve for x
    x = 199,279,655,250.85/502,372.84
  6. Step 6: Final answer
    x = 396,676.81

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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.