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Finding the Fourth Proportional to 315,872.97, 435,903.96 and 172,634.03

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Solution

The fourth proportional to 315,872.97, 435,903.96 and 172,634.03 is: 238,234.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,872.97 : 435,903.96 = 172,634.03 : x
  2. Step 2: Convert to fraction form
    315,872.97/435,903.96 = 172,634.03/x
  3. Step 3: Cross multiply
    315,872.97x = 435,903.96 × 172,634.03
  4. Step 4: Simplify right side
    315,872.97x = 75,251,858,405.62
  5. Step 5: Solve for x
    x = 75,251,858,405.62/315,872.97
  6. Step 6: Final answer
    x = 238,234.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.