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Finding the Fourth Proportional to 654,615.78, 981,613.44 and 228,002.82

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Solution

The fourth proportional to 654,615.78, 981,613.44 and 228,002.82 is: 341,896.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,615.78 : 981,613.44 = 228,002.82 : x
  2. Step 2: Convert to fraction form
    654,615.78/981,613.44 = 228,002.82/x
  3. Step 3: Cross multiply
    654,615.78x = 981,613.44 × 228,002.82
  4. Step 4: Simplify right side
    654,615.78x = 223,810,632,469.90
  5. Step 5: Solve for x
    x = 223,810,632,469.90/654,615.78
  6. Step 6: Final answer
    x = 341,896.18

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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.