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Finding the Fourth Proportional to 263,878.89, 394,884 and 164,086.08

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Solution

The fourth proportional to 263,878.89, 394,884 and 164,086.08 is: 245,548.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,878.89 : 394,884 = 164,086.08 : x
  2. Step 2: Convert to fraction form
    263,878.89/394,884 = 164,086.08/x
  3. Step 3: Cross multiply
    263,878.89x = 394,884 × 164,086.08
  4. Step 4: Simplify right side
    263,878.89x = 64,794,967,614.72
  5. Step 5: Solve for x
    x = 64,794,967,614.72/263,878.89
  6. Step 6: Final answer
    x = 245,548.13

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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.