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Finding the Fourth Proportional to 399,618.39, 599,413.77 and 100,101.56

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Solution

The fourth proportional to 399,618.39, 599,413.77 and 100,101.56 is: 150,148.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,618.39 : 599,413.77 = 100,101.56 : x
  2. Step 2: Convert to fraction form
    399,618.39/599,413.77 = 100,101.56/x
  3. Step 3: Cross multiply
    399,618.39x = 599,413.77 × 100,101.56
  4. Step 4: Simplify right side
    399,618.39x = 60,002,250,465.41
  5. Step 5: Solve for x
    x = 60,002,250,465.41/399,618.39
  6. Step 6: Final answer
    x = 150,148.87

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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.