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Finding the Fourth Proportional to 272,205.70, 408,308.55 and 197,167.30

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Solution

The fourth proportional to 272,205.70, 408,308.55 and 197,167.30 is: 295,750.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,205.70 : 408,308.55 = 197,167.30 : x
  2. Step 2: Convert to fraction form
    272,205.70/408,308.55 = 197,167.30/x
  3. Step 3: Cross multiply
    272,205.70x = 408,308.55 × 197,167.30
  4. Step 4: Simplify right side
    272,205.70x = 80,505,094,370.42
  5. Step 5: Solve for x
    x = 80,505,094,370.42/272,205.70
  6. Step 6: Final answer
    x = 295,750.95

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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.