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Finding the Fourth Proportional to 278,884.62, 384,863.40 and 165,685.50

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Solution

The fourth proportional to 278,884.62, 384,863.40 and 165,685.50 is: 228,647.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,884.62 : 384,863.40 = 165,685.50 : x
  2. Step 2: Convert to fraction form
    278,884.62/384,863.40 = 165,685.50/x
  3. Step 3: Cross multiply
    278,884.62x = 384,863.40 × 165,685.50
  4. Step 4: Simplify right side
    278,884.62x = 63,766,284,860.70
  5. Step 5: Solve for x
    x = 63,766,284,860.70/278,884.62
  6. Step 6: Final answer
    x = 228,647.55

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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.