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Finding the Fourth Proportional to 278,786.88, 384,843.60 and 188,265.60

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Solution

The fourth proportional to 278,786.88, 384,843.60 and 188,265.60 is: 259,886.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,786.88 : 384,843.60 = 188,265.60 : x
  2. Step 2: Convert to fraction form
    278,786.88/384,843.60 = 188,265.60/x
  3. Step 3: Cross multiply
    278,786.88x = 384,843.60 × 188,265.60
  4. Step 4: Simplify right side
    278,786.88x = 72,452,811,260.16
  5. Step 5: Solve for x
    x = 72,452,811,260.16/278,786.88
  6. Step 6: Final answer
    x = 259,886.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.