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Finding the Fourth Proportional to 278,798.45, 418,205.87 and 68,436.38

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Solution

The fourth proportional to 278,798.45, 418,205.87 and 68,436.38 is: 102,656.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,798.45 : 418,205.87 = 68,436.38 : x
  2. Step 2: Convert to fraction form
    278,798.45/418,205.87 = 68,436.38/x
  3. Step 3: Cross multiply
    278,798.45x = 418,205.87 × 68,436.38
  4. Step 4: Simplify right side
    278,798.45x = 28,620,493,404.34
  5. Step 5: Solve for x
    x = 28,620,493,404.34/278,798.45
  6. Step 6: Final answer
    x = 102,656.57

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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.