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Finding the Fourth Proportional to 382,806, 574,213.86 and 133,488

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Solution

The fourth proportional to 382,806, 574,213.86 and 133,488 is: 200,233.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,806 : 574,213.86 = 133,488 : x
  2. Step 2: Convert to fraction form
    382,806/574,213.86 = 133,488/x
  3. Step 3: Cross multiply
    382,806x = 574,213.86 × 133,488
  4. Step 4: Simplify right side
    382,806x = 76,650,659,743.68
  5. Step 5: Solve for x
    x = 76,650,659,743.68/382,806
  6. Step 6: Final answer
    x = 200,233.69

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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.