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Finding the Fourth Proportional to 259,433.80, 388,859.10 and 133,025.20

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Solution

The fourth proportional to 259,433.80, 388,859.10 and 133,025.20 is: 199,388.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,433.80 : 388,859.10 = 133,025.20 : x
  2. Step 2: Convert to fraction form
    259,433.80/388,859.10 = 133,025.20/x
  3. Step 3: Cross multiply
    259,433.80x = 388,859.10 × 133,025.20
  4. Step 4: Simplify right side
    259,433.80x = 51,728,059,549.32
  5. Step 5: Solve for x
    x = 51,728,059,549.32/259,433.80
  6. Step 6: Final answer
    x = 199,388.28

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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.