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Finding the Fourth Proportional to 300,716.56, 451,020.32 and 120,794.74

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Solution

The fourth proportional to 300,716.56, 451,020.32 and 120,794.74 is: 181,170.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,716.56 : 451,020.32 = 120,794.74 : x
  2. Step 2: Convert to fraction form
    300,716.56/451,020.32 = 120,794.74/x
  3. Step 3: Cross multiply
    300,716.56x = 451,020.32 × 120,794.74
  4. Step 4: Simplify right side
    300,716.56x = 54,480,880,034.02
  5. Step 5: Solve for x
    x = 54,480,880,034.02/300,716.56
  6. Step 6: Final answer
    x = 181,170.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.