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Finding the Fourth Proportional to 259,429.80, 388,853.10 and 133,021.20

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Solution

The fourth proportional to 259,429.80, 388,853.10 and 133,021.20 is: 199,382.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,429.80 : 388,853.10 = 133,021.20 : x
  2. Step 2: Convert to fraction form
    259,429.80/388,853.10 = 133,021.20/x
  3. Step 3: Cross multiply
    259,429.80x = 388,853.10 × 133,021.20
  4. Step 4: Simplify right side
    259,429.80x = 51,725,705,985.72
  5. Step 5: Solve for x
    x = 51,725,705,985.72/259,429.80
  6. Step 6: Final answer
    x = 199,382.28

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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.