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Finding the Fourth Proportional to 392,133.42, 541,144.53 and 222,367.68

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Solution

The fourth proportional to 392,133.42, 541,144.53 and 222,367.68 is: 306,867.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,133.42 : 541,144.53 = 222,367.68 : x
  2. Step 2: Convert to fraction form
    392,133.42/541,144.53 = 222,367.68/x
  3. Step 3: Cross multiply
    392,133.42x = 541,144.53 × 222,367.68
  4. Step 4: Simplify right side
    392,133.42x = 120,333,053,680.79
  5. Step 5: Solve for x
    x = 120,333,053,680.79/392,133.42
  6. Step 6: Final answer
    x = 306,867.63

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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.