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Finding the Fourth Proportional to 381,682.69, 572,786.51 and 132,364.69

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Solution

The fourth proportional to 381,682.69, 572,786.51 and 132,364.69 is: 198,638.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,682.69 : 572,786.51 = 132,364.69 : x
  2. Step 2: Convert to fraction form
    381,682.69/572,786.51 = 132,364.69/x
  3. Step 3: Cross multiply
    381,682.69x = 572,786.51 × 132,364.69
  4. Step 4: Simplify right side
    381,682.69x = 75,816,706,738.54
  5. Step 5: Solve for x
    x = 75,816,706,738.54/381,682.69
  6. Step 6: Final answer
    x = 198,638.06

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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.