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Finding the Fourth Proportional to 277,876, 416,883.12 and 80,884

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Solution

The fourth proportional to 277,876, 416,883.12 and 80,884 is: 121,346.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,876 : 416,883.12 = 80,884 : x
  2. Step 2: Convert to fraction form
    277,876/416,883.12 = 80,884/x
  3. Step 3: Cross multiply
    277,876x = 416,883.12 × 80,884
  4. Step 4: Simplify right side
    277,876x = 33,719,174,278.08
  5. Step 5: Solve for x
    x = 33,719,174,278.08/277,876
  6. Step 6: Final answer
    x = 121,346.12

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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.