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Finding the Fourth Proportional to 275,904, 413,856 and 78,912

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Solution

The fourth proportional to 275,904, 413,856 and 78,912 is: 118,368

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,904 : 413,856 = 78,912 : x
  2. Step 2: Convert to fraction form
    275,904/413,856 = 78,912/x
  3. Step 3: Cross multiply
    275,904x = 413,856 × 78,912
  4. Step 4: Simplify right side
    275,904x = 32,658,204,672
  5. Step 5: Solve for x
    x = 32,658,204,672/275,904
  6. Step 6: Final answer
    x = 118,368

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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.