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Finding the Fourth Proportional to 376,630.56, 519,757.56 and 206,874

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Solution

The fourth proportional to 376,630.56, 519,757.56 and 206,874 is: 285,490.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,630.56 : 519,757.56 = 206,874 : x
  2. Step 2: Convert to fraction form
    376,630.56/519,757.56 = 206,874/x
  3. Step 3: Cross multiply
    376,630.56x = 519,757.56 × 206,874
  4. Step 4: Simplify right side
    376,630.56x = 107,524,325,467.44
  5. Step 5: Solve for x
    x = 107,524,325,467.44/376,630.56
  6. Step 6: Final answer
    x = 285,490.18

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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.