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Finding the Fourth Proportional to 270,987.20, 406,941.60 and 200,945.60

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Solution

The fourth proportional to 270,987.20, 406,941.60 and 200,945.60 is: 301,760.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,987.20 : 406,941.60 = 200,945.60 : x
  2. Step 2: Convert to fraction form
    270,987.20/406,941.60 = 200,945.60/x
  3. Step 3: Cross multiply
    270,987.20x = 406,941.60 × 200,945.60
  4. Step 4: Simplify right side
    270,987.20x = 81,773,123,976.96
  5. Step 5: Solve for x
    x = 81,773,123,976.96/270,987.20
  6. Step 6: Final answer
    x = 301,760.10

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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.