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Finding the Fourth Proportional to 394,022.80, 590,861.40 and 157,286.80

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Solution

The fourth proportional to 394,022.80, 590,861.40 and 157,286.80 is: 235,861.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,022.80 : 590,861.40 = 157,286.80 : x
  2. Step 2: Convert to fraction form
    394,022.80/590,861.40 = 157,286.80/x
  3. Step 3: Cross multiply
    394,022.80x = 590,861.40 × 157,286.80
  4. Step 4: Simplify right side
    394,022.80x = 92,934,698,849.52
  5. Step 5: Solve for x
    x = 92,934,698,849.52/394,022.80
  6. Step 6: Final answer
    x = 235,861.22

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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.