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Finding the Fourth Proportional to 278,642.29, 384,644.09 and 188,120.88

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Solution

The fourth proportional to 278,642.29, 384,644.09 and 188,120.88 is: 259,686.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,642.29 : 384,644.09 = 188,120.88 : x
  2. Step 2: Convert to fraction form
    278,642.29/384,644.09 = 188,120.88/x
  3. Step 3: Cross multiply
    278,642.29x = 384,644.09 × 188,120.88
  4. Step 4: Simplify right side
    278,642.29x = 72,359,584,697.60
  5. Step 5: Solve for x
    x = 72,359,584,697.60/278,642.29
  6. Step 6: Final answer
    x = 259,686.30

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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.