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Finding the Fourth Proportional to 399,840.65, 599,791.96 and 133,602.11

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Solution

The fourth proportional to 399,840.65, 599,791.96 and 133,602.11 is: 200,413.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,840.65 : 599,791.96 = 133,602.11 : x
  2. Step 2: Convert to fraction form
    399,840.65/599,791.96 = 133,602.11/x
  3. Step 3: Cross multiply
    399,840.65x = 599,791.96 × 133,602.11
  4. Step 4: Simplify right side
    399,840.65x = 80,133,468,418.08
  5. Step 5: Solve for x
    x = 80,133,468,418.08/399,840.65
  6. Step 6: Final answer
    x = 200,413.51

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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.