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Finding the Fourth Proportional to 408,831.60, 613,028.70 and 171,906.60

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Solution

The fourth proportional to 408,831.60, 613,028.70 and 171,906.60 is: 257,767.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,831.60 : 613,028.70 = 171,906.60 : x
  2. Step 2: Convert to fraction form
    408,831.60/613,028.70 = 171,906.60/x
  3. Step 3: Cross multiply
    408,831.60x = 613,028.70 × 171,906.60
  4. Step 4: Simplify right side
    408,831.60x = 105,383,679,519.42
  5. Step 5: Solve for x
    x = 105,383,679,519.42/408,831.60
  6. Step 6: Final answer
    x = 257,767.94

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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.