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Finding the Fourth Proportional to 280,760.52, 421,184.52 and 168,414.34

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Solution

The fourth proportional to 280,760.52, 421,184.52 and 168,414.34 is: 252,647.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,760.52 : 421,184.52 = 168,414.34 : x
  2. Step 2: Convert to fraction form
    280,760.52/421,184.52 = 168,414.34/x
  3. Step 3: Cross multiply
    280,760.52x = 421,184.52 × 168,414.34
  4. Step 4: Simplify right side
    280,760.52x = 70,933,512,954.02
  5. Step 5: Solve for x
    x = 70,933,512,954.02/280,760.52
  6. Step 6: Final answer
    x = 252,647.75

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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.