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Finding the Fourth Proportional to 403,837.80, 605,610.90 and 204,091.80

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Solution

The fourth proportional to 403,837.80, 605,610.90 and 204,091.80 is: 306,064.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,837.80 : 605,610.90 = 204,091.80 : x
  2. Step 2: Convert to fraction form
    403,837.80/605,610.90 = 204,091.80/x
  3. Step 3: Cross multiply
    403,837.80x = 605,610.90 × 204,091.80
  4. Step 4: Simplify right side
    403,837.80x = 123,600,218,680.62
  5. Step 5: Solve for x
    x = 123,600,218,680.62/403,837.80
  6. Step 6: Final answer
    x = 306,064.02

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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.