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Finding the Fourth Proportional to 300,974.14, 415,349 and 165,020.50

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Solution

The fourth proportional to 300,974.14, 415,349 and 165,020.50 is: 227,730.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,974.14 : 415,349 = 165,020.50 : x
  2. Step 2: Convert to fraction form
    300,974.14/415,349 = 165,020.50/x
  3. Step 3: Cross multiply
    300,974.14x = 415,349 × 165,020.50
  4. Step 4: Simplify right side
    300,974.14x = 68,541,099,654.50
  5. Step 5: Solve for x
    x = 68,541,099,654.50/300,974.14
  6. Step 6: Final answer
    x = 227,730.86

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1.5x scale

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.