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Finding the Fourth Proportional to 275,586.40, 412,942.20 and 181,982.80

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Solution

The fourth proportional to 275,586.40, 412,942.20 and 181,982.80 is: 272,685.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,586.40 : 412,942.20 = 181,982.80 : x
  2. Step 2: Convert to fraction form
    275,586.40/412,942.20 = 181,982.80/x
  3. Step 3: Cross multiply
    275,586.40x = 412,942.20 × 181,982.80
  4. Step 4: Simplify right side
    275,586.40x = 75,148,377,794.16
  5. Step 5: Solve for x
    x = 75,148,377,794.16/275,586.40
  6. Step 6: Final answer
    x = 272,685.36

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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.