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Finding the Fourth Proportional to 339,912.80, 509,869.20 and 198,195.20

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Solution

The fourth proportional to 339,912.80, 509,869.20 and 198,195.20 is: 297,292.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,912.80 : 509,869.20 = 198,195.20 : x
  2. Step 2: Convert to fraction form
    339,912.80/509,869.20 = 198,195.20/x
  3. Step 3: Cross multiply
    339,912.80x = 509,869.20 × 198,195.20
  4. Step 4: Simplify right side
    339,912.80x = 101,053,628,067.84
  5. Step 5: Solve for x
    x = 101,053,628,067.84/339,912.80
  6. Step 6: Final answer
    x = 297,292.80

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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.