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Finding the Fourth Proportional to 491,261.92, 677,893.06 and 276,397.24

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Solution

The fourth proportional to 491,261.92, 677,893.06 and 276,397.24 is: 381,400.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,261.92 : 677,893.06 = 276,397.24 : x
  2. Step 2: Convert to fraction form
    491,261.92/677,893.06 = 276,397.24/x
  3. Step 3: Cross multiply
    491,261.92x = 677,893.06 × 276,397.24
  4. Step 4: Simplify right side
    491,261.92x = 187,367,770,799.15
  5. Step 5: Solve for x
    x = 187,367,770,799.15/491,261.92
  6. Step 6: Final answer
    x = 381,400.97

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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.