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Finding the Fourth Proportional to 271,760.20, 405,810.32 and 221,939.20

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Solution

The fourth proportional to 271,760.20, 405,810.32 and 221,939.20 is: 331,414.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,760.20 : 405,810.32 = 221,939.20 : x
  2. Step 2: Convert to fraction form
    271,760.20/405,810.32 = 221,939.20/x
  3. Step 3: Cross multiply
    271,760.20x = 405,810.32 × 221,939.20
  4. Step 4: Simplify right side
    271,760.20x = 90,065,217,772.54
  5. Step 5: Solve for x
    x = 90,065,217,772.54/271,760.20
  6. Step 6: Final answer
    x = 331,414.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.