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Finding the Fourth Proportional to 266,458.55, 398,971.60 and 202,976.25

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Solution

The fourth proportional to 266,458.55, 398,971.60 and 202,976.25 is: 303,918.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,458.55 : 398,971.60 = 202,976.25 : x
  2. Step 2: Convert to fraction form
    266,458.55/398,971.60 = 202,976.25/x
  3. Step 3: Cross multiply
    266,458.55x = 398,971.60 × 202,976.25
  4. Step 4: Simplify right side
    266,458.55x = 80,981,758,209.62
  5. Step 5: Solve for x
    x = 80,981,758,209.62/266,458.55
  6. Step 6: Final answer
    x = 303,918.78

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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.