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Finding the Fourth Proportional to 381,629.81, 572,707.16 and 132,311.81

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Solution

The fourth proportional to 381,629.81, 572,707.16 and 132,311.81 is: 198,558.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,629.81 : 572,707.16 = 132,311.81 : x
  2. Step 2: Convert to fraction form
    381,629.81/572,707.16 = 132,311.81/x
  3. Step 3: Cross multiply
    381,629.81x = 572,707.16 × 132,311.81
  4. Step 4: Simplify right side
    381,629.81x = 75,775,922,205.94
  5. Step 5: Solve for x
    x = 75,775,922,205.94/381,629.81
  6. Step 6: Final answer
    x = 198,558.71

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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.