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Finding the Fourth Proportional to 491,584, 678,377.78 and 276,723.40

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Solution

The fourth proportional to 491,584, 678,377.78 and 276,723.40 is: 381,873.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,584 : 678,377.78 = 276,723.40 : x
  2. Step 2: Convert to fraction form
    491,584/678,377.78 = 276,723.40/x
  3. Step 3: Cross multiply
    491,584x = 678,377.78 × 276,723.40
  4. Step 4: Simplify right side
    491,584x = 187,723,005,766.05
  5. Step 5: Solve for x
    x = 187,723,005,766.05/491,584
  6. Step 6: Final answer
    x = 381,873.71

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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.