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Finding the Fourth Proportional to 300,376.40, 414,520.20 and 166,245.20

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Solution

The fourth proportional to 300,376.40, 414,520.20 and 166,245.20 is: 229,418.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,376.40 : 414,520.20 = 166,245.20 : x
  2. Step 2: Convert to fraction form
    300,376.40/414,520.20 = 166,245.20/x
  3. Step 3: Cross multiply
    300,376.40x = 414,520.20 × 166,245.20
  4. Step 4: Simplify right side
    300,376.40x = 68,911,993,553.04
  5. Step 5: Solve for x
    x = 68,911,993,553.04/300,376.40
  6. Step 6: Final answer
    x = 229,418.80

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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.