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Finding the Fourth Proportional to 272,489.40, 408,734.10 and 206,134.20

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Solution

The fourth proportional to 272,489.40, 408,734.10 and 206,134.20 is: 309,201.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,489.40 : 408,734.10 = 206,134.20 : x
  2. Step 2: Convert to fraction form
    272,489.40/408,734.10 = 206,134.20/x
  3. Step 3: Cross multiply
    272,489.40x = 408,734.10 × 206,134.20
  4. Step 4: Simplify right side
    272,489.40x = 84,254,076,716.22
  5. Step 5: Solve for x
    x = 84,254,076,716.22/272,489.40
  6. Step 6: Final answer
    x = 309,201.30

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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.