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Finding the Fourth Proportional to 263,209.76, 394,989.60 and 122,979.32

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Solution

The fourth proportional to 263,209.76, 394,989.60 and 122,979.32 is: 184,550.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,209.76 : 394,989.60 = 122,979.32 : x
  2. Step 2: Convert to fraction form
    263,209.76/394,989.60 = 122,979.32/x
  3. Step 3: Cross multiply
    263,209.76x = 394,989.60 × 122,979.32
  4. Step 4: Simplify right side
    263,209.76x = 48,575,552,415.07
  5. Step 5: Solve for x
    x = 48,575,552,415.07/263,209.76
  6. Step 6: Final answer
    x = 184,550.73

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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.