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Finding the Fourth Proportional to 376,676.64, 519,803.52 and 206,910.78

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Solution

The fourth proportional to 376,676.64, 519,803.52 and 206,910.78 is: 285,531.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,676.64 : 519,803.52 = 206,910.78 : x
  2. Step 2: Convert to fraction form
    376,676.64/519,803.52 = 206,910.78/x
  3. Step 3: Cross multiply
    376,676.64x = 519,803.52 × 206,910.78
  4. Step 4: Simplify right side
    376,676.64x = 107,552,951,769.95
  5. Step 5: Solve for x
    x = 107,552,951,769.95/376,676.64
  6. Step 6: Final answer
    x = 285,531.25

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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.