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Finding the Fourth Proportional to 300,326.40, 414,451.20 and 166,195.20

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Solution

The fourth proportional to 300,326.40, 414,451.20 and 166,195.20 is: 229,349.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,326.40 : 414,451.20 = 166,195.20 : x
  2. Step 2: Convert to fraction form
    300,326.40/414,451.20 = 166,195.20/x
  3. Step 3: Cross multiply
    300,326.40x = 414,451.20 × 166,195.20
  4. Step 4: Simplify right side
    300,326.40x = 68,879,800,074.24
  5. Step 5: Solve for x
    x = 68,879,800,074.24/300,326.40
  6. Step 6: Final answer
    x = 229,349.80

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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.