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Finding the Fourth Proportional to 394,450.56, 591,831.36 and 145,152

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Solution

The fourth proportional to 394,450.56, 591,831.36 and 145,152 is: 217,785.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,450.56 : 591,831.36 = 145,152 : x
  2. Step 2: Convert to fraction form
    394,450.56/591,831.36 = 145,152/x
  3. Step 3: Cross multiply
    394,450.56x = 591,831.36 × 145,152
  4. Step 4: Simplify right side
    394,450.56x = 85,905,505,566.72
  5. Step 5: Solve for x
    x = 85,905,505,566.72/394,450.56
  6. Step 6: Final answer
    x = 217,785.23

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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.