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Finding the Fourth Proportional to 263,278.62, 394,600.64 and 120,927.46

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Solution

The fourth proportional to 263,278.62, 394,600.64 and 120,927.46 is: 181,245.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,278.62 : 394,600.64 = 120,927.46 : x
  2. Step 2: Convert to fraction form
    263,278.62/394,600.64 = 120,927.46/x
  3. Step 3: Cross multiply
    263,278.62x = 394,600.64 × 120,927.46
  4. Step 4: Simplify right side
    263,278.62x = 47,718,053,109.57
  5. Step 5: Solve for x
    x = 47,718,053,109.57/263,278.62
  6. Step 6: Final answer
    x = 181,245.45

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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.