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Finding the Fourth Proportional to 300,251.56, 414,416.34 and 198,297.16

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Solution

The fourth proportional to 300,251.56, 414,416.34 and 198,297.16 is: 273,695.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,251.56 : 414,416.34 = 198,297.16 : x
  2. Step 2: Convert to fraction form
    300,251.56/414,416.34 = 198,297.16/x
  3. Step 3: Cross multiply
    300,251.56x = 414,416.34 × 198,297.16
  4. Step 4: Simplify right side
    300,251.56x = 82,177,583,279.59
  5. Step 5: Solve for x
    x = 82,177,583,279.59/300,251.56
  6. Step 6: Final answer
    x = 273,695.77

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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.