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Finding the Fourth Proportional to 679,864, 1,019,817.60 and 206,553.48

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Solution

The fourth proportional to 679,864, 1,019,817.60 and 206,553.48 is: 309,836.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,864 : 1,019,817.60 = 206,553.48 : x
  2. Step 2: Convert to fraction form
    679,864/1,019,817.60 = 206,553.48/x
  3. Step 3: Cross multiply
    679,864x = 1,019,817.60 × 206,553.48
  4. Step 4: Simplify right side
    679,864x = 210,646,874,245.25
  5. Step 5: Solve for x
    x = 210,646,874,245.25/679,864
  6. Step 6: Final answer
    x = 309,836.78

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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.