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Finding the Fourth Proportional to 263,282.84, 394,566.40 and 111,353.68

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Solution

The fourth proportional to 263,282.84, 394,566.40 and 111,353.68 is: 166,879.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,282.84 : 394,566.40 = 111,353.68 : x
  2. Step 2: Convert to fraction form
    263,282.84/394,566.40 = 111,353.68/x
  3. Step 3: Cross multiply
    263,282.84x = 394,566.40 × 111,353.68
  4. Step 4: Simplify right side
    263,282.84x = 43,936,420,644.35
  5. Step 5: Solve for x
    x = 43,936,420,644.35/263,282.84
  6. Step 6: Final answer
    x = 166,879.17

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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.