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Finding the Fourth Proportional to 491,105.73, 677,651.53 and 276,298.59

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Solution

The fourth proportional to 491,105.73, 677,651.53 and 276,298.59 is: 381,250.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,105.73 : 677,651.53 = 276,298.59 : x
  2. Step 2: Convert to fraction form
    491,105.73/677,651.53 = 276,298.59/x
  3. Step 3: Cross multiply
    491,105.73x = 677,651.53 × 276,298.59
  4. Step 4: Simplify right side
    491,105.73x = 187,234,162,250.34
  5. Step 5: Solve for x
    x = 187,234,162,250.34/491,105.73
  6. Step 6: Final answer
    x = 381,250.21

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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.