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Finding the Fourth Proportional to 271,932, 407,606.40 and 131,380.80

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Solution

The fourth proportional to 271,932, 407,606.40 and 131,380.80 is: 196,930.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,932 : 407,606.40 = 131,380.80 : x
  2. Step 2: Convert to fraction form
    271,932/407,606.40 = 131,380.80/x
  3. Step 3: Cross multiply
    271,932x = 407,606.40 × 131,380.80
  4. Step 4: Simplify right side
    271,932x = 53,551,654,917.12
  5. Step 5: Solve for x
    x = 53,551,654,917.12/271,932
  6. Step 6: Final answer
    x = 196,930.32

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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.