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Finding the Fourth Proportional to 278,765.80, 384,729.78 and 165,589

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Solution

The fourth proportional to 278,765.80, 384,729.78 and 165,589 is: 228,532.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,765.80 : 384,729.78 = 165,589 : x
  2. Step 2: Convert to fraction form
    278,765.80/384,729.78 = 165,589/x
  3. Step 3: Cross multiply
    278,765.80x = 384,729.78 × 165,589
  4. Step 4: Simplify right side
    278,765.80x = 63,707,019,540.42
  5. Step 5: Solve for x
    x = 63,707,019,540.42/278,765.80
  6. Step 6: Final answer
    x = 228,532.41

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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.