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Finding the Fourth Proportional to 411,940.60, 616,874.10 and 270,935.80

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Solution

The fourth proportional to 411,940.60, 616,874.10 and 270,935.80 is: 405,721.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,940.60 : 616,874.10 = 270,935.80 : x
  2. Step 2: Convert to fraction form
    411,940.60/616,874.10 = 270,935.80/x
  3. Step 3: Cross multiply
    411,940.60x = 616,874.10 × 270,935.80
  4. Step 4: Simplify right side
    411,940.60x = 167,133,277,782.78
  5. Step 5: Solve for x
    x = 167,133,277,782.78/411,940.60
  6. Step 6: Final answer
    x = 405,721.79

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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.