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Finding the Fourth Proportional to 258,902.64, 388,224.09 and 150,867

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Solution

The fourth proportional to 258,902.64, 388,224.09 and 150,867 is: 226,224.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,902.64 : 388,224.09 = 150,867 : x
  2. Step 2: Convert to fraction form
    258,902.64/388,224.09 = 150,867/x
  3. Step 3: Cross multiply
    258,902.64x = 388,224.09 × 150,867
  4. Step 4: Simplify right side
    258,902.64x = 58,570,203,786.03
  5. Step 5: Solve for x
    x = 58,570,203,786.03/258,902.64
  6. Step 6: Final answer
    x = 226,224.82

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1.5x scale

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.