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Finding the Fourth Proportional to 399,843.66, 599,796.47 and 133,605.10

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Solution

The fourth proportional to 399,843.66, 599,796.47 and 133,605.10 is: 200,418.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,843.66 : 599,796.47 = 133,605.10 : x
  2. Step 2: Convert to fraction form
    399,843.66/599,796.47 = 133,605.10/x
  3. Step 3: Cross multiply
    399,843.66x = 599,796.47 × 133,605.10
  4. Step 4: Simplify right side
    399,843.66x = 80,135,867,354.00
  5. Step 5: Solve for x
    x = 80,135,867,354.00/399,843.66
  6. Step 6: Final answer
    x = 200,418.00

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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.