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Finding the Fourth Proportional to 259,843.60, 388,901.40 and 188,563.60

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Solution

The fourth proportional to 259,843.60, 388,901.40 and 188,563.60 is: 282,218.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,843.60 : 388,901.40 = 188,563.60 : x
  2. Step 2: Convert to fraction form
    259,843.60/388,901.40 = 188,563.60/x
  3. Step 3: Cross multiply
    259,843.60x = 388,901.40 × 188,563.60
  4. Step 4: Simplify right side
    259,843.60x = 73,332,648,029.04
  5. Step 5: Solve for x
    x = 73,332,648,029.04/259,843.60
  6. Step 6: Final answer
    x = 282,218.41

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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.