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Finding the Fourth Proportional to 263,048.72, 394,702.69 and 122,817.20

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Solution

The fourth proportional to 263,048.72, 394,702.69 and 122,817.20 is: 184,286.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,048.72 : 394,702.69 = 122,817.20 : x
  2. Step 2: Convert to fraction form
    263,048.72/394,702.69 = 122,817.20/x
  3. Step 3: Cross multiply
    263,048.72x = 394,702.69 × 122,817.20
  4. Step 4: Simplify right side
    263,048.72x = 48,476,279,218.27
  5. Step 5: Solve for x
    x = 48,476,279,218.27/263,048.72
  6. Step 6: Final answer
    x = 184,286.31

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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.