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Finding the Fourth Proportional to 259,428.80, 388,851.60 and 133,020.20

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Solution

The fourth proportional to 259,428.80, 388,851.60 and 133,020.20 is: 199,380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,428.80 : 388,851.60 = 133,020.20 : x
  2. Step 2: Convert to fraction form
    259,428.80/388,851.60 = 133,020.20/x
  3. Step 3: Cross multiply
    259,428.80x = 388,851.60 × 133,020.20
  4. Step 4: Simplify right side
    259,428.80x = 51,725,117,602.32
  5. Step 5: Solve for x
    x = 51,725,117,602.32/259,428.80
  6. Step 6: Final answer
    x = 199,380.78

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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.