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Finding the Fourth Proportional to 491,454.35, 678,228.82 and 276,608.33

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Solution

The fourth proportional to 491,454.35, 678,228.82 and 276,608.33 is: 381,731.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,454.35 : 678,228.82 = 276,608.33 : x
  2. Step 2: Convert to fraction form
    491,454.35/678,228.82 = 276,608.33/x
  3. Step 3: Cross multiply
    491,454.35x = 678,228.82 × 276,608.33
  4. Step 4: Simplify right side
    491,454.35x = 187,603,737,175.41
  5. Step 5: Solve for x
    x = 187,603,737,175.41/491,454.35
  6. Step 6: Final answer
    x = 381,731.77

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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.