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Finding the Fourth Proportional to 278,642.64, 384,644.56 and 188,121.22

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Solution

The fourth proportional to 278,642.64, 384,644.56 and 188,121.22 is: 259,686.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,642.64 : 384,644.56 = 188,121.22 : x
  2. Step 2: Convert to fraction form
    278,642.64/384,644.56 = 188,121.22/x
  3. Step 3: Cross multiply
    278,642.64x = 384,644.56 × 188,121.22
  4. Step 4: Simplify right side
    278,642.64x = 72,359,804,609.52
  5. Step 5: Solve for x
    x = 72,359,804,609.52/278,642.64
  6. Step 6: Final answer
    x = 259,686.76

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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.