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Finding the Fourth Proportional to 392,305,791.80, 588,458,687.70 and 349,979,468.60

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Solution

The fourth proportional to 392,305,791.80, 588,458,687.70 and 349,979,468.60 is: 524,969,202.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,305,791.80 : 588,458,687.70 = 349,979,468.60 : x
  2. Step 2: Convert to fraction form
    392,305,791.80/588,458,687.70 = 349,979,468.60/x
  3. Step 3: Cross multiply
    392,305,791.80x = 588,458,687.70 × 349,979,468.60
  4. Step 4: Simplify right side
    392,305,791.80x = 205,948,458,814,299,392
  5. Step 5: Solve for x
    x = 205,948,458,814,299,392/392,305,791.80
  6. Step 6: Final answer
    x = 524,969,202.90

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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.