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Finding the Fourth Proportional to 399,775.50, 599,958.09 and 189,413.64

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Solution

The fourth proportional to 399,775.50, 599,958.09 and 189,413.64 is: 284,260.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,775.50 : 599,958.09 = 189,413.64 : x
  2. Step 2: Convert to fraction form
    399,775.50/599,958.09 = 189,413.64/x
  3. Step 3: Cross multiply
    399,775.50x = 599,958.09 × 189,413.64
  4. Step 4: Simplify right side
    399,775.50x = 113,640,245,674.35
  5. Step 5: Solve for x
    x = 113,640,245,674.35/399,775.50
  6. Step 6: Final answer
    x = 284,260.16

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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.