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Finding the Fourth Proportional to 495,997.28, 684,481.08 and 269,647.64

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Solution

The fourth proportional to 495,997.28, 684,481.08 and 269,647.64 is: 372,116.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,997.28 : 684,481.08 = 269,647.64 : x
  2. Step 2: Convert to fraction form
    495,997.28/684,481.08 = 269,647.64/x
  3. Step 3: Cross multiply
    495,997.28x = 684,481.08 × 269,647.64
  4. Step 4: Simplify right side
    495,997.28x = 184,568,707,846.65
  5. Step 5: Solve for x
    x = 184,568,707,846.65/495,997.28
  6. Step 6: Final answer
    x = 372,116.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.