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Finding the Fourth Proportional to 298,470.60, 447,414.30 and 266,977.80

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Solution

The fourth proportional to 298,470.60, 447,414.30 and 266,977.80 is: 400,205.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,470.60 : 447,414.30 = 266,977.80 : x
  2. Step 2: Convert to fraction form
    298,470.60/447,414.30 = 266,977.80/x
  3. Step 3: Cross multiply
    298,470.60x = 447,414.30 × 266,977.80
  4. Step 4: Simplify right side
    298,470.60x = 119,449,685,502.54
  5. Step 5: Solve for x
    x = 119,449,685,502.54/298,470.60
  6. Step 6: Final answer
    x = 400,205.87

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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.