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Finding the Fourth Proportional to 300,481.57, 414,648.14 and 164,489.21

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Solution

The fourth proportional to 300,481.57, 414,648.14 and 164,489.21 is: 226,986.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,481.57 : 414,648.14 = 164,489.21 : x
  2. Step 2: Convert to fraction form
    300,481.57/414,648.14 = 164,489.21/x
  3. Step 3: Cross multiply
    300,481.57x = 414,648.14 × 164,489.21
  4. Step 4: Simplify right side
    300,481.57x = 68,205,144,252.65
  5. Step 5: Solve for x
    x = 68,205,144,252.65/300,481.57
  6. Step 6: Final answer
    x = 226,986.12

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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.