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Finding the Fourth Proportional to 358,644.88, 494,763.78 and 231,361.48

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Solution

The fourth proportional to 358,644.88, 494,763.78 and 231,361.48 is: 319,171.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,644.88 : 494,763.78 = 231,361.48 : x
  2. Step 2: Convert to fraction form
    358,644.88/494,763.78 = 231,361.48/x
  3. Step 3: Cross multiply
    358,644.88x = 494,763.78 × 231,361.48
  4. Step 4: Simplify right side
    358,644.88x = 114,469,280,391.19
  5. Step 5: Solve for x
    x = 114,469,280,391.19/358,644.88
  6. Step 6: Final answer
    x = 319,171.66

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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.