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Finding the Fourth Proportional to 394,295.20, 591,831.60 and 194,840.80

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Solution

The fourth proportional to 394,295.20, 591,831.60 and 194,840.80 is: 292,453.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,295.20 : 591,831.60 = 194,840.80 : x
  2. Step 2: Convert to fraction form
    394,295.20/591,831.60 = 194,840.80/x
  3. Step 3: Cross multiply
    394,295.20x = 591,831.60 × 194,840.80
  4. Step 4: Simplify right side
    394,295.20x = 115,312,942,409.28
  5. Step 5: Solve for x
    x = 115,312,942,409.28/394,295.20
  6. Step 6: Final answer
    x = 292,453.33

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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.