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Finding the Fourth Proportional to 297,000, 409,872.96 and 162,864

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Solution

The fourth proportional to 297,000, 409,872.96 and 162,864 is: 224,759.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,000 : 409,872.96 = 162,864 : x
  2. Step 2: Convert to fraction form
    297,000/409,872.96 = 162,864/x
  3. Step 3: Cross multiply
    297,000x = 409,872.96 × 162,864
  4. Step 4: Simplify right side
    297,000x = 66,753,549,757.44
  5. Step 5: Solve for x
    x = 66,753,549,757.44/297,000
  6. Step 6: Final answer
    x = 224,759.43

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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.