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Finding the Fourth Proportional to 277,906.20, 416,859.30 and 259,243.80

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Solution

The fourth proportional to 277,906.20, 416,859.30 and 259,243.80 is: 388,865.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,906.20 : 416,859.30 = 259,243.80 : x
  2. Step 2: Convert to fraction form
    277,906.20/416,859.30 = 259,243.80/x
  3. Step 3: Cross multiply
    277,906.20x = 416,859.30 × 259,243.80
  4. Step 4: Simplify right side
    277,906.20x = 108,068,188,997.34
  5. Step 5: Solve for x
    x = 108,068,188,997.34/277,906.20
  6. Step 6: Final answer
    x = 388,865.70

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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.