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Finding the Fourth Proportional to 278,448, 384,258.24 and 159,239.04

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Solution

The fourth proportional to 278,448, 384,258.24 and 159,239.04 is: 219,749.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,448 : 384,258.24 = 159,239.04 : x
  2. Step 2: Convert to fraction form
    278,448/384,258.24 = 159,239.04/x
  3. Step 3: Cross multiply
    278,448x = 384,258.24 × 159,239.04
  4. Step 4: Simplify right side
    278,448x = 61,188,913,249.69
  5. Step 5: Solve for x
    x = 61,188,913,249.69/278,448
  6. Step 6: Final answer
    x = 219,749.88

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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.