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Finding the Fourth Proportional to 394,212.46, 591,472.11 and 157,622.80

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Solution

The fourth proportional to 394,212.46, 591,472.11 and 157,622.80 is: 236,495.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,212.46 : 591,472.11 = 157,622.80 : x
  2. Step 2: Convert to fraction form
    394,212.46/591,472.11 = 157,622.80/x
  3. Step 3: Cross multiply
    394,212.46x = 591,472.11 × 157,622.80
  4. Step 4: Simplify right side
    394,212.46x = 93,229,490,100.11
  5. Step 5: Solve for x
    x = 93,229,490,100.11/394,212.46
  6. Step 6: Final answer
    x = 236,495.54

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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.