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Finding the Fourth Proportional to 491,240.64, 677,864 and 276,376

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Solution

The fourth proportional to 491,240.64, 677,864 and 276,376 is: 381,371.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,240.64 : 677,864 = 276,376 : x
  2. Step 2: Convert to fraction form
    491,240.64/677,864 = 276,376/x
  3. Step 3: Cross multiply
    491,240.64x = 677,864 × 276,376
  4. Step 4: Simplify right side
    491,240.64x = 187,345,340,864
  5. Step 5: Solve for x
    x = 187,345,340,864/491,240.64
  6. Step 6: Final answer
    x = 381,371.83

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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.