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Finding the Fourth Proportional to 300,297.68, 414,382.58 and 203,304.23

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Solution

The fourth proportional to 300,297.68, 414,382.58 and 203,304.23 is: 280,540.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,297.68 : 414,382.58 = 203,304.23 : x
  2. Step 2: Convert to fraction form
    300,297.68/414,382.58 = 203,304.23/x
  3. Step 3: Cross multiply
    300,297.68x = 414,382.58 × 203,304.23
  4. Step 4: Simplify right side
    300,297.68x = 84,245,731,723.79
  5. Step 5: Solve for x
    x = 84,245,731,723.79/300,297.68
  6. Step 6: Final answer
    x = 280,540.74

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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.