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Finding the Fourth Proportional to 259,441.80, 388,871.10 and 133,033.20

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Solution

The fourth proportional to 259,441.80, 388,871.10 and 133,033.20 is: 199,400.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,441.80 : 388,871.10 = 133,033.20 : x
  2. Step 2: Convert to fraction form
    259,441.80/388,871.10 = 133,033.20/x
  3. Step 3: Cross multiply
    259,441.80x = 388,871.10 × 133,033.20
  4. Step 4: Simplify right side
    259,441.80x = 51,732,766,820.52
  5. Step 5: Solve for x
    x = 51,732,766,820.52/259,441.80
  6. Step 6: Final answer
    x = 199,400.28

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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.