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Finding the Fourth Proportional to 272,192, 408,399.66 and 120,308.78

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Solution

The fourth proportional to 272,192, 408,399.66 and 120,308.78 is: 180,512.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,192 : 408,399.66 = 120,308.78 : x
  2. Step 2: Convert to fraction form
    272,192/408,399.66 = 120,308.78/x
  3. Step 3: Cross multiply
    272,192x = 408,399.66 × 120,308.78
  4. Step 4: Simplify right side
    272,192x = 49,134,064,847.01
  5. Step 5: Solve for x
    x = 49,134,064,847.01/272,192
  6. Step 6: Final answer
    x = 180,512.52

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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.