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Finding the Fourth Proportional to 278,850.52, 384,782.48 and 157,965.92

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Solution

The fourth proportional to 278,850.52, 384,782.48 and 157,965.92 is: 217,975.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,850.52 : 384,782.48 = 157,965.92 : x
  2. Step 2: Convert to fraction form
    278,850.52/384,782.48 = 157,965.92/x
  3. Step 3: Cross multiply
    278,850.52x = 384,782.48 × 157,965.92
  4. Step 4: Simplify right side
    278,850.52x = 60,782,518,453.08
  5. Step 5: Solve for x
    x = 60,782,518,453.08/278,850.52
  6. Step 6: Final answer
    x = 217,975.27

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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.