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Finding the Fourth Proportional to 263,079.20, 394,100.40 and 157,584.80

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Solution

The fourth proportional to 263,079.20, 394,100.40 and 157,584.80 is: 236,066.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,079.20 : 394,100.40 = 157,584.80 : x
  2. Step 2: Convert to fraction form
    263,079.20/394,100.40 = 157,584.80/x
  3. Step 3: Cross multiply
    263,079.20x = 394,100.40 × 157,584.80
  4. Step 4: Simplify right side
    263,079.20x = 62,104,232,713.92
  5. Step 5: Solve for x
    x = 62,104,232,713.92/263,079.20
  6. Step 6: Final answer
    x = 236,066.68

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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.