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Finding the Fourth Proportional to 278,491.57, 417,745.46 and 68,129.44

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Solution

The fourth proportional to 278,491.57, 417,745.46 and 68,129.44 is: 102,196.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,491.57 : 417,745.46 = 68,129.44 : x
  2. Step 2: Convert to fraction form
    278,491.57/417,745.46 = 68,129.44/x
  3. Step 3: Cross multiply
    278,491.57x = 417,745.46 × 68,129.44
  4. Step 4: Simplify right side
    278,491.57x = 28,460,763,911.70
  5. Step 5: Solve for x
    x = 28,460,763,911.70/278,491.57
  6. Step 6: Final answer
    x = 102,196.14

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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.