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Finding the Fourth Proportional to 270,989.20, 406,944.60 and 200,947.60

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Solution

The fourth proportional to 270,989.20, 406,944.60 and 200,947.60 is: 301,763.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,989.20 : 406,944.60 = 200,947.60 : x
  2. Step 2: Convert to fraction form
    270,989.20/406,944.60 = 200,947.60/x
  3. Step 3: Cross multiply
    270,989.20x = 406,944.60 × 200,947.60
  4. Step 4: Simplify right side
    270,989.20x = 81,774,540,702.96
  5. Step 5: Solve for x
    x = 81,774,540,702.96/270,989.20
  6. Step 6: Final answer
    x = 301,763.10

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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.