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Finding the Fourth Proportional to 491,414.97, 678,040.44 and 276,476.61

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Solution

The fourth proportional to 491,414.97, 678,040.44 and 276,476.61 is: 381,474.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,414.97 : 678,040.44 = 276,476.61 : x
  2. Step 2: Convert to fraction form
    491,414.97/678,040.44 = 276,476.61/x
  3. Step 3: Cross multiply
    491,414.97x = 678,040.44 × 276,476.61
  4. Step 4: Simplify right side
    491,414.97x = 187,462,322,294.11
  5. Step 5: Solve for x
    x = 187,462,322,294.11/491,414.97
  6. Step 6: Final answer
    x = 381,474.59

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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.