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Finding the Fourth Proportional to 399,550.50, 599,413.32 and 150,232.50

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Solution

The fourth proportional to 399,550.50, 599,413.32 and 150,232.50 is: 225,381.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,550.50 : 599,413.32 = 150,232.50 : x
  2. Step 2: Convert to fraction form
    399,550.50/599,413.32 = 150,232.50/x
  3. Step 3: Cross multiply
    399,550.50x = 599,413.32 × 150,232.50
  4. Step 4: Simplify right side
    399,550.50x = 90,051,361,596.90
  5. Step 5: Solve for x
    x = 90,051,361,596.90/399,550.50
  6. Step 6: Final answer
    x = 225,381.68

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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.