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Finding the Fourth Proportional to 278,913.44, 418,716.84 and 277,634.72

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Solution

The fourth proportional to 278,913.44, 418,716.84 and 277,634.72 is: 416,797.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,913.44 : 418,716.84 = 277,634.72 : x
  2. Step 2: Convert to fraction form
    278,913.44/418,716.84 = 277,634.72/x
  3. Step 3: Cross multiply
    278,913.44x = 418,716.84 × 277,634.72
  4. Step 4: Simplify right side
    278,913.44x = 116,250,332,632.69
  5. Step 5: Solve for x
    x = 116,250,332,632.69/278,913.44
  6. Step 6: Final answer
    x = 416,797.17

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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.