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Finding the Fourth Proportional to 272,328.60, 408,930.30 and 205,843.80

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Solution

The fourth proportional to 272,328.60, 408,930.30 and 205,843.80 is: 309,096.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,328.60 : 408,930.30 = 205,843.80 : x
  2. Step 2: Convert to fraction form
    272,328.60/408,930.30 = 205,843.80/x
  3. Step 3: Cross multiply
    272,328.60x = 408,930.30 × 205,843.80
  4. Step 4: Simplify right side
    272,328.60x = 84,175,766,887.14
  5. Step 5: Solve for x
    x = 84,175,766,887.14/272,328.60
  6. Step 6: Final answer
    x = 309,096.32

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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.