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Finding the Fourth Proportional to 276,680.10, 415,020.15 and 171,704.10

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Solution

The fourth proportional to 276,680.10, 415,020.15 and 171,704.10 is: 257,556.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,680.10 : 415,020.15 = 171,704.10 : x
  2. Step 2: Convert to fraction form
    276,680.10/415,020.15 = 171,704.10/x
  3. Step 3: Cross multiply
    276,680.10x = 415,020.15 × 171,704.10
  4. Step 4: Simplify right side
    276,680.10x = 71,260,661,337.62
  5. Step 5: Solve for x
    x = 71,260,661,337.62/276,680.10
  6. Step 6: Final answer
    x = 257,556.15

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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.