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Finding the Fourth Proportional to 300,348, 414,480.24 and 166,220.64

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Solution

The fourth proportional to 300,348, 414,480.24 and 166,220.64 is: 229,384.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,348 : 414,480.24 = 166,220.64 : x
  2. Step 2: Convert to fraction form
    300,348/414,480.24 = 166,220.64/x
  3. Step 3: Cross multiply
    300,348x = 414,480.24 × 166,220.64
  4. Step 4: Simplify right side
    300,348x = 68,895,170,760.15
  5. Step 5: Solve for x
    x = 68,895,170,760.15/300,348
  6. Step 6: Final answer
    x = 229,384.48

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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.