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Finding the Fourth Proportional to 278,884.87, 384,853.11 and 158,065.20

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Solution

The fourth proportional to 278,884.87, 384,853.11 and 158,065.20 is: 218,125.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,884.87 : 384,853.11 = 158,065.20 : x
  2. Step 2: Convert to fraction form
    278,884.87/384,853.11 = 158,065.20/x
  3. Step 3: Cross multiply
    278,884.87x = 384,853.11 × 158,065.20
  4. Step 4: Simplify right side
    278,884.87x = 60,831,882,794.47
  5. Step 5: Solve for x
    x = 60,831,882,794.47/278,884.87
  6. Step 6: Final answer
    x = 218,125.43

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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.