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Finding the Fourth Proportional to 399,840.60, 599,791.86 and 133,602.03

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Solution

The fourth proportional to 399,840.60, 599,791.86 and 133,602.03 is: 200,413.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,840.60 : 599,791.86 = 133,602.03 : x
  2. Step 2: Convert to fraction form
    399,840.60/599,791.86 = 133,602.03/x
  3. Step 3: Cross multiply
    399,840.60x = 599,791.86 × 133,602.03
  4. Step 4: Simplify right side
    399,840.60x = 80,133,410,073.48
  5. Step 5: Solve for x
    x = 80,133,410,073.48/399,840.60
  6. Step 6: Final answer
    x = 200,413.39

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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.