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Finding the Fourth Proportional to 254,448, 381,672.16 and 79,344

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Solution

The fourth proportional to 254,448, 381,672.16 and 79,344 is: 119,016.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,448 : 381,672.16 = 79,344 : x
  2. Step 2: Convert to fraction form
    254,448/381,672.16 = 79,344/x
  3. Step 3: Cross multiply
    254,448x = 381,672.16 × 79,344
  4. Step 4: Simplify right side
    254,448x = 30,283,395,863.04
  5. Step 5: Solve for x
    x = 30,283,395,863.04/254,448
  6. Step 6: Final answer
    x = 119,016.05

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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.