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Finding the Fourth Proportional to 277,816, 416,794.56 and 80,824

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Solution

The fourth proportional to 277,816, 416,794.56 and 80,824 is: 121,256.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,816 : 416,794.56 = 80,824 : x
  2. Step 2: Convert to fraction form
    277,816/416,794.56 = 80,824/x
  3. Step 3: Cross multiply
    277,816x = 416,794.56 × 80,824
  4. Step 4: Simplify right side
    277,816x = 33,687,003,517.44
  5. Step 5: Solve for x
    x = 33,687,003,517.44/277,816
  6. Step 6: Final answer
    x = 121,256.53

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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.