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Finding the Fourth Proportional to 275,908, 413,862 and 78,916

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Solution

The fourth proportional to 275,908, 413,862 and 78,916 is: 118,374

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,908 : 413,862 = 78,916 : x
  2. Step 2: Convert to fraction form
    275,908/413,862 = 78,916/x
  3. Step 3: Cross multiply
    275,908x = 413,862 × 78,916
  4. Step 4: Simplify right side
    275,908x = 32,660,333,592
  5. Step 5: Solve for x
    x = 32,660,333,592/275,908
  6. Step 6: Final answer
    x = 118,374

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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.