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Finding the Fourth Proportional to 278,804.45, 418,214.87 and 68,442.38

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Solution

The fourth proportional to 278,804.45, 418,214.87 and 68,442.38 is: 102,665.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,804.45 : 418,214.87 = 68,442.38 : x
  2. Step 2: Convert to fraction form
    278,804.45/418,214.87 = 68,442.38/x
  3. Step 3: Cross multiply
    278,804.45x = 418,214.87 × 68,442.38
  4. Step 4: Simplify right side
    278,804.45x = 28,623,618,620.90
  5. Step 5: Solve for x
    x = 28,623,618,620.90/278,804.45
  6. Step 6: Final answer
    x = 102,665.57

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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.