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Finding the Fourth Proportional to 330,696, 496,044 and 81,378

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Solution

The fourth proportional to 330,696, 496,044 and 81,378 is: 122,067

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,696 : 496,044 = 81,378 : x
  2. Step 2: Convert to fraction form
    330,696/496,044 = 81,378/x
  3. Step 3: Cross multiply
    330,696x = 496,044 × 81,378
  4. Step 4: Simplify right side
    330,696x = 40,367,068,632
  5. Step 5: Solve for x
    x = 40,367,068,632/330,696
  6. Step 6: Final answer
    x = 122,067

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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.