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Finding the Fourth Proportional to 491,367.67, 678,085.22 and 276,511.32

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Solution

The fourth proportional to 491,367.67, 678,085.22 and 276,511.32 is: 381,584.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,367.67 : 678,085.22 = 276,511.32 : x
  2. Step 2: Convert to fraction form
    491,367.67/678,085.22 = 276,511.32/x
  3. Step 3: Cross multiply
    491,367.67x = 678,085.22 × 276,511.32
  4. Step 4: Simplify right side
    491,367.67x = 187,498,239,945.97
  5. Step 5: Solve for x
    x = 187,498,239,945.97/491,367.67
  6. Step 6: Final answer
    x = 381,584.41

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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.