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Finding the Fourth Proportional to 679,685.82, 1,019,462.76 and 206,375.28

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Solution

The fourth proportional to 679,685.82, 1,019,462.76 and 206,375.28 is: 309,542.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,685.82 : 1,019,462.76 = 206,375.28 : x
  2. Step 2: Convert to fraction form
    679,685.82/1,019,462.76 = 206,375.28/x
  3. Step 3: Cross multiply
    679,685.82x = 1,019,462.76 × 206,375.28
  4. Step 4: Simplify right side
    679,685.82x = 210,391,912,544.57
  5. Step 5: Solve for x
    x = 210,391,912,544.57/679,685.82
  6. Step 6: Final answer
    x = 309,542.89

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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.