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Finding the Fourth Proportional to 299,231.31, 412,456.83 and 202,399.85

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Solution

The fourth proportional to 299,231.31, 412,456.83 and 202,399.85 is: 278,985.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,231.31 : 412,456.83 = 202,399.85 : x
  2. Step 2: Convert to fraction form
    299,231.31/412,456.83 = 202,399.85/x
  3. Step 3: Cross multiply
    299,231.31x = 412,456.83 × 202,399.85
  4. Step 4: Simplify right side
    299,231.31x = 83,481,200,795.62
  5. Step 5: Solve for x
    x = 83,481,200,795.62/299,231.31
  6. Step 6: Final answer
    x = 278,985.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.