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Finding the Fourth Proportional to 278,891.35, 384,855.32 and 158,034.08

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Solution

The fourth proportional to 278,891.35, 384,855.32 and 158,034.08 is: 218,078.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,891.35 : 384,855.32 = 158,034.08 : x
  2. Step 2: Convert to fraction form
    278,891.35/384,855.32 = 158,034.08/x
  3. Step 3: Cross multiply
    278,891.35x = 384,855.32 × 158,034.08
  4. Step 4: Simplify right side
    278,891.35x = 60,820,257,786.53
  5. Step 5: Solve for x
    x = 60,820,257,786.53/278,891.35
  6. Step 6: Final answer
    x = 218,078.68

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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.