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Finding the Fourth Proportional to 300,454.20, 414,626.79 and 166,318.20

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Solution

The fourth proportional to 300,454.20, 414,626.79 and 166,318.20 is: 229,519.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,454.20 : 414,626.79 = 166,318.20 : x
  2. Step 2: Convert to fraction form
    300,454.20/414,626.79 = 166,318.20/x
  3. Step 3: Cross multiply
    300,454.20x = 414,626.79 × 166,318.20
  4. Step 4: Simplify right side
    300,454.20x = 68,959,981,384.58
  5. Step 5: Solve for x
    x = 68,959,981,384.58/300,454.20
  6. Step 6: Final answer
    x = 229,519.11

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1.5x scale

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.