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Finding the Fourth Proportional to 278,840.52, 418,260.78 and 101,314.44

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Solution

The fourth proportional to 278,840.52, 418,260.78 and 101,314.44 is: 151,971.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,840.52 : 418,260.78 = 101,314.44 : x
  2. Step 2: Convert to fraction form
    278,840.52/418,260.78 = 101,314.44/x
  3. Step 3: Cross multiply
    278,840.52x = 418,260.78 × 101,314.44
  4. Step 4: Simplify right side
    278,840.52x = 42,375,856,699.66
  5. Step 5: Solve for x
    x = 42,375,856,699.66/278,840.52
  6. Step 6: Final answer
    x = 151,971.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.