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Finding the Fourth Proportional to 381,814.20, 572,721.30 and 221,725.80

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Solution

The fourth proportional to 381,814.20, 572,721.30 and 221,725.80 is: 332,588.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,814.20 : 572,721.30 = 221,725.80 : x
  2. Step 2: Convert to fraction form
    381,814.20/572,721.30 = 221,725.80/x
  3. Step 3: Cross multiply
    381,814.20x = 572,721.30 × 221,725.80
  4. Step 4: Simplify right side
    381,814.20x = 126,987,088,419.54
  5. Step 5: Solve for x
    x = 126,987,088,419.54/381,814.20
  6. Step 6: Final answer
    x = 332,588.70

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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.