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Finding the Fourth Proportional to 512,994.57, 769,076.78 and 213,699.97

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Solution

The fourth proportional to 512,994.57, 769,076.78 and 213,699.97 is: 320,377.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,994.57 : 769,076.78 = 213,699.97 : x
  2. Step 2: Convert to fraction form
    512,994.57/769,076.78 = 213,699.97/x
  3. Step 3: Cross multiply
    512,994.57x = 769,076.78 × 213,699.97
  4. Step 4: Simplify right side
    512,994.57x = 164,351,684,706.54
  5. Step 5: Solve for x
    x = 164,351,684,706.54/512,994.57
  6. Step 6: Final answer
    x = 320,377.05

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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.