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Finding the Fourth Proportional to 278,596.86, 417,890.43 and 68,236.62

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Solution

The fourth proportional to 278,596.86, 417,890.43 and 68,236.62 is: 102,353.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,596.86 : 417,890.43 = 68,236.62 : x
  2. Step 2: Convert to fraction form
    278,596.86/417,890.43 = 68,236.62/x
  3. Step 3: Cross multiply
    278,596.86x = 417,890.43 × 68,236.62
  4. Step 4: Simplify right side
    278,596.86x = 28,515,430,473.55
  5. Step 5: Solve for x
    x = 28,515,430,473.55/278,596.86
  6. Step 6: Final answer
    x = 102,353.74

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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.