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Finding the Fourth Proportional to 393,378.43, 542,861.43 and 221,296.51

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Solution

The fourth proportional to 393,378.43, 542,861.43 and 221,296.51 is: 305,388.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,378.43 : 542,861.43 = 221,296.51 : x
  2. Step 2: Convert to fraction form
    393,378.43/542,861.43 = 221,296.51/x
  3. Step 3: Cross multiply
    393,378.43x = 542,861.43 × 221,296.51
  4. Step 4: Simplify right side
    393,378.43x = 120,133,339,872.61
  5. Step 5: Solve for x
    x = 120,133,339,872.61/393,378.43
  6. Step 6: Final answer
    x = 305,388.73

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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.