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Finding the Fourth Proportional to 259,077.78, 388,449.76 and 109,278

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Solution

The fourth proportional to 259,077.78, 388,449.76 and 109,278 is: 163,846.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,077.78 : 388,449.76 = 109,278 : x
  2. Step 2: Convert to fraction form
    259,077.78/388,449.76 = 109,278/x
  3. Step 3: Cross multiply
    259,077.78x = 388,449.76 × 109,278
  4. Step 4: Simplify right side
    259,077.78x = 42,449,012,873.28
  5. Step 5: Solve for x
    x = 42,449,012,873.28/259,077.78
  6. Step 6: Final answer
    x = 163,846.60

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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.