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Finding the Fourth Proportional to 491,578.86, 678,371.31 and 276,718.26

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Solution

The fourth proportional to 491,578.86, 678,371.31 and 276,718.26 is: 381,866.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,578.86 : 678,371.31 = 276,718.26 : x
  2. Step 2: Convert to fraction form
    491,578.86/678,371.31 = 276,718.26/x
  3. Step 3: Cross multiply
    491,578.86x = 678,371.31 × 276,718.26
  4. Step 4: Simplify right side
    491,578.86x = 187,717,728,537.12
  5. Step 5: Solve for x
    x = 187,717,728,537.12/491,578.86
  6. Step 6: Final answer
    x = 381,866.97

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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.