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Finding the Fourth Proportional to 300,103.87, 414,097.35 and 172,754.86

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Solution

The fourth proportional to 300,103.87, 414,097.35 and 172,754.86 is: 238,375.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,103.87 : 414,097.35 = 172,754.86 : x
  2. Step 2: Convert to fraction form
    300,103.87/414,097.35 = 172,754.86/x
  3. Step 3: Cross multiply
    300,103.87x = 414,097.35 × 172,754.86
  4. Step 4: Simplify right side
    300,103.87x = 71,537,329,725.62
  5. Step 5: Solve for x
    x = 71,537,329,725.62/300,103.87
  6. Step 6: Final answer
    x = 238,375.23

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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.