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Finding the Fourth Proportional to 265,217.40, 397,850.40 and 107,413.20

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Solution

The fourth proportional to 265,217.40, 397,850.40 and 107,413.20 is: 161,129.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,217.40 : 397,850.40 = 107,413.20 : x
  2. Step 2: Convert to fraction form
    265,217.40/397,850.40 = 107,413.20/x
  3. Step 3: Cross multiply
    265,217.40x = 397,850.40 × 107,413.20
  4. Step 4: Simplify right side
    265,217.40x = 42,734,384,585.28
  5. Step 5: Solve for x
    x = 42,734,384,585.28/265,217.40
  6. Step 6: Final answer
    x = 161,129.64

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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.