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Finding the Fourth Proportional to 272,138.20, 408,207.30 and 196,905.40

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Solution

The fourth proportional to 272,138.20, 408,207.30 and 196,905.40 is: 295,358.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,138.20 : 408,207.30 = 196,905.40 : x
  2. Step 2: Convert to fraction form
    272,138.20/408,207.30 = 196,905.40/x
  3. Step 3: Cross multiply
    272,138.20x = 408,207.30 × 196,905.40
  4. Step 4: Simplify right side
    272,138.20x = 80,378,221,689.42
  5. Step 5: Solve for x
    x = 80,378,221,689.42/272,138.20
  6. Step 6: Final answer
    x = 295,358.10

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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.