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Finding the Fourth Proportional to 287,224, 396,378.24 and 179,759.68

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Solution

The fourth proportional to 287,224, 396,378.24 and 179,759.68 is: 248,074.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,224 : 396,378.24 = 179,759.68 : x
  2. Step 2: Convert to fraction form
    287,224/396,378.24 = 179,759.68/x
  3. Step 3: Cross multiply
    287,224x = 396,378.24 × 179,759.68
  4. Step 4: Simplify right side
    287,224x = 71,252,825,581.36
  5. Step 5: Solve for x
    x = 71,252,825,581.36/287,224
  6. Step 6: Final answer
    x = 248,074.07

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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.