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Finding the Fourth Proportional to 643,937.80, 965,906.70 and 329,009.80

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Solution

The fourth proportional to 643,937.80, 965,906.70 and 329,009.80 is: 493,514.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,937.80 : 965,906.70 = 329,009.80 : x
  2. Step 2: Convert to fraction form
    643,937.80/965,906.70 = 329,009.80/x
  3. Step 3: Cross multiply
    643,937.80x = 965,906.70 × 329,009.80
  4. Step 4: Simplify right side
    643,937.80x = 317,792,770,185.66
  5. Step 5: Solve for x
    x = 317,792,770,185.66/643,937.80
  6. Step 6: Final answer
    x = 493,514.70

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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.