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Finding the Fourth Proportional to 270,856.80, 406,285.20 and 203,934.60

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Solution

The fourth proportional to 270,856.80, 406,285.20 and 203,934.60 is: 305,901.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,856.80 : 406,285.20 = 203,934.60 : x
  2. Step 2: Convert to fraction form
    270,856.80/406,285.20 = 203,934.60/x
  3. Step 3: Cross multiply
    270,856.80x = 406,285.20 × 203,934.60
  4. Step 4: Simplify right side
    270,856.80x = 82,855,609,747.92
  5. Step 5: Solve for x
    x = 82,855,609,747.92/270,856.80
  6. Step 6: Final answer
    x = 305,901.90

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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.