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Finding the Fourth Proportional to 275,906, 413,859 and 78,914

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Solution

The fourth proportional to 275,906, 413,859 and 78,914 is: 118,371

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,906 : 413,859 = 78,914 : x
  2. Step 2: Convert to fraction form
    275,906/413,859 = 78,914/x
  3. Step 3: Cross multiply
    275,906x = 413,859 × 78,914
  4. Step 4: Simplify right side
    275,906x = 32,659,269,126
  5. Step 5: Solve for x
    x = 32,659,269,126/275,906
  6. Step 6: Final answer
    x = 118,371

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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.