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Finding the Fourth Proportional to 393,679.50, 543,294.91 and 221,608.56

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Solution

The fourth proportional to 393,679.50, 543,294.91 and 221,608.56 is: 305,829.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,679.50 : 543,294.91 = 221,608.56 : x
  2. Step 2: Convert to fraction form
    393,679.50/543,294.91 = 221,608.56/x
  3. Step 3: Cross multiply
    393,679.50x = 543,294.91 × 221,608.56
  4. Step 4: Simplify right side
    393,679.50x = 120,398,802,660.43
  5. Step 5: Solve for x
    x = 120,398,802,660.43/393,679.50
  6. Step 6: Final answer
    x = 305,829.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.