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Finding the Fourth Proportional to 277,876.06, 416,849.41 and 88,268.78

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Solution

The fourth proportional to 277,876.06, 416,849.41 and 88,268.78 is: 132,414.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,876.06 : 416,849.41 = 88,268.78 : x
  2. Step 2: Convert to fraction form
    277,876.06/416,849.41 = 88,268.78/x
  3. Step 3: Cross multiply
    277,876.06x = 416,849.41 × 88,268.78
  4. Step 4: Simplify right side
    277,876.06x = 36,794,788,864.42
  5. Step 5: Solve for x
    x = 36,794,788,864.42/277,876.06
  6. Step 6: Final answer
    x = 132,414.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.