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Finding the Fourth Proportional to 331,480, 497,297.76 and 109,864

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Solution

The fourth proportional to 331,480, 497,297.76 and 109,864 is: 164,821.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,480 : 497,297.76 = 109,864 : x
  2. Step 2: Convert to fraction form
    331,480/497,297.76 = 109,864/x
  3. Step 3: Cross multiply
    331,480x = 497,297.76 × 109,864
  4. Step 4: Simplify right side
    331,480x = 54,635,121,104.64
  5. Step 5: Solve for x
    x = 54,635,121,104.64/331,480
  6. Step 6: Final answer
    x = 164,821.77

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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.