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Finding the Fourth Proportional to 300,786.76, 414,930.48 and 203,957.86

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Solution

The fourth proportional to 300,786.76, 414,930.48 and 203,957.86 is: 281,356.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,786.76 : 414,930.48 = 203,957.86 : x
  2. Step 2: Convert to fraction form
    300,786.76/414,930.48 = 203,957.86/x
  3. Step 3: Cross multiply
    300,786.76x = 414,930.48 × 203,957.86
  4. Step 4: Simplify right side
    300,786.76x = 84,628,332,749.57
  5. Step 5: Solve for x
    x = 84,628,332,749.57/300,786.76
  6. Step 6: Final answer
    x = 281,356.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.