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Finding the Fourth Proportional to 263,046.72, 394,699.69 and 122,815.20

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Solution

The fourth proportional to 263,046.72, 394,699.69 and 122,815.20 is: 184,283.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,046.72 : 394,699.69 = 122,815.20 : x
  2. Step 2: Convert to fraction form
    263,046.72/394,699.69 = 122,815.20/x
  3. Step 3: Cross multiply
    263,046.72x = 394,699.69 × 122,815.20
  4. Step 4: Simplify right side
    263,046.72x = 48,475,122,310.10
  5. Step 5: Solve for x
    x = 48,475,122,310.10/263,046.72
  6. Step 6: Final answer
    x = 184,283.32

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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.