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Finding the Fourth Proportional to 340,339.44, 469,660.38 and 189,433.20

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Solution

The fourth proportional to 340,339.44, 469,660.38 and 189,433.20 is: 261,413.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,339.44 : 469,660.38 = 189,433.20 : x
  2. Step 2: Convert to fraction form
    340,339.44/469,660.38 = 189,433.20/x
  3. Step 3: Cross multiply
    340,339.44x = 469,660.38 × 189,433.20
  4. Step 4: Simplify right side
    340,339.44x = 88,969,268,696.62
  5. Step 5: Solve for x
    x = 88,969,268,696.62/340,339.44
  6. Step 6: Final answer
    x = 261,413.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.