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Finding the Fourth Proportional to 378,942, 568,770.48 and 278,797.20

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Solution

The fourth proportional to 378,942, 568,770.48 and 278,797.20 is: 418,458.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,942 : 568,770.48 = 278,797.20 : x
  2. Step 2: Convert to fraction form
    378,942/568,770.48 = 278,797.20/x
  3. Step 3: Cross multiply
    378,942x = 568,770.48 × 278,797.20
  4. Step 4: Simplify right side
    378,942x = 158,571,617,266.66
  5. Step 5: Solve for x
    x = 158,571,617,266.66/378,942
  6. Step 6: Final answer
    x = 418,458.81

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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.