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Finding the Fourth Proportional to 270,972.20, 406,919.10 and 200,930.60

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Solution

The fourth proportional to 270,972.20, 406,919.10 and 200,930.60 is: 301,737.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,972.20 : 406,919.10 = 200,930.60 : x
  2. Step 2: Convert to fraction form
    270,972.20/406,919.10 = 200,930.60/x
  3. Step 3: Cross multiply
    270,972.20x = 406,919.10 × 200,930.60
  4. Step 4: Simplify right side
    270,972.20x = 81,762,498,914.46
  5. Step 5: Solve for x
    x = 81,762,498,914.46/270,972.20
  6. Step 6: Final answer
    x = 301,737.59

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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.