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Finding the Fourth Proportional to 411,480.42, 616,660.21 and 231,651.61

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Solution

The fourth proportional to 411,480.42, 616,660.21 and 231,651.61 is: 347,161.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,480.42 : 616,660.21 = 231,651.61 : x
  2. Step 2: Convert to fraction form
    411,480.42/616,660.21 = 231,651.61/x
  3. Step 3: Cross multiply
    411,480.42x = 616,660.21 × 231,651.61
  4. Step 4: Simplify right side
    411,480.42x = 142,850,333,337.59
  5. Step 5: Solve for x
    x = 142,850,333,337.59/411,480.42
  6. Step 6: Final answer
    x = 347,161.92

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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.