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Finding the Fourth Proportional to 300,322.56, 414,264.94 and 198,348.22

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Solution

The fourth proportional to 300,322.56, 414,264.94 and 198,348.22 is: 273,601.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,322.56 : 414,264.94 = 198,348.22 : x
  2. Step 2: Convert to fraction form
    300,322.56/414,264.94 = 198,348.22/x
  3. Step 3: Cross multiply
    300,322.56x = 414,264.94 × 198,348.22
  4. Step 4: Simplify right side
    300,322.56x = 82,168,713,457.41
  5. Step 5: Solve for x
    x = 82,168,713,457.41/300,322.56
  6. Step 6: Final answer
    x = 273,601.54

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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.