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Finding the Fourth Proportional to 271,378.26, 407,080.17 and 223,905.38

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Solution

The fourth proportional to 271,378.26, 407,080.17 and 223,905.38 is: 335,868.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,378.26 : 407,080.17 = 223,905.38 : x
  2. Step 2: Convert to fraction form
    271,378.26/407,080.17 = 223,905.38/x
  3. Step 3: Cross multiply
    271,378.26x = 407,080.17 × 223,905.38
  4. Step 4: Simplify right side
    271,378.26x = 91,147,438,118.91
  5. Step 5: Solve for x
    x = 91,147,438,118.91/271,378.26
  6. Step 6: Final answer
    x = 335,868.61

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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.