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Finding the Fourth Proportional to 278,704.24, 384,616 and 157,842.48

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Solution

The fourth proportional to 278,704.24, 384,616 and 157,842.48 is: 217,824.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,704.24 : 384,616 = 157,842.48 : x
  2. Step 2: Convert to fraction form
    278,704.24/384,616 = 157,842.48/x
  3. Step 3: Cross multiply
    278,704.24x = 384,616 × 157,842.48
  4. Step 4: Simplify right side
    278,704.24x = 60,708,743,287.68
  5. Step 5: Solve for x
    x = 60,708,743,287.68/278,704.24
  6. Step 6: Final answer
    x = 217,824.97

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1.5x scale

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.