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Finding the Fourth Proportional to 339,831, 509,451.24 and 199,294.38

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Solution

The fourth proportional to 339,831, 509,451.24 and 199,294.38 is: 298,768.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,831 : 509,451.24 = 199,294.38 : x
  2. Step 2: Convert to fraction form
    339,831/509,451.24 = 199,294.38/x
  3. Step 3: Cross multiply
    339,831x = 509,451.24 × 199,294.38
  4. Step 4: Simplify right side
    339,831x = 101,530,769,016.03
  5. Step 5: Solve for x
    x = 101,530,769,016.03/339,831
  6. Step 6: Final answer
    x = 298,768.41

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1.5x scale

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.