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Finding the Fourth Proportional to 662,490.97, 993,736.79 and 213,211.78

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Solution

The fourth proportional to 662,490.97, 993,736.79 and 213,211.78 is: 319,817.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,490.97 : 993,736.79 = 213,211.78 : x
  2. Step 2: Convert to fraction form
    662,490.97/993,736.79 = 213,211.78/x
  3. Step 3: Cross multiply
    662,490.97x = 993,736.79 × 213,211.78
  4. Step 4: Simplify right side
    662,490.97x = 211,876,389,847.39
  5. Step 5: Solve for x
    x = 211,876,389,847.39/662,490.97
  6. Step 6: Final answer
    x = 319,817.78

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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.