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Finding the Fourth Proportional to 275,243.82, 412,282.50 and 207,942.54

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Solution

The fourth proportional to 275,243.82, 412,282.50 and 207,942.54 is: 311,473.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,243.82 : 412,282.50 = 207,942.54 : x
  2. Step 2: Convert to fraction form
    275,243.82/412,282.50 = 207,942.54/x
  3. Step 3: Cross multiply
    275,243.82x = 412,282.50 × 207,942.54
  4. Step 4: Simplify right side
    275,243.82x = 85,731,070,247.55
  5. Step 5: Solve for x
    x = 85,731,070,247.55/275,243.82
  6. Step 6: Final answer
    x = 311,473.19

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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.