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Finding the Fourth Proportional to 386,745.36, 580,146 and 161,879.64

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Solution

The fourth proportional to 386,745.36, 580,146 and 161,879.64 is: 242,831.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,745.36 : 580,146 = 161,879.64 : x
  2. Step 2: Convert to fraction form
    386,745.36/580,146 = 161,879.64/x
  3. Step 3: Cross multiply
    386,745.36x = 580,146 × 161,879.64
  4. Step 4: Simplify right side
    386,745.36x = 93,913,825,627.44
  5. Step 5: Solve for x
    x = 93,913,825,627.44/386,745.36
  6. Step 6: Final answer
    x = 242,831.16

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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.