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Finding the Fourth Proportional to 411,935.60, 616,866.60 and 270,930.80

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Solution

The fourth proportional to 411,935.60, 616,866.60 and 270,930.80 is: 405,714.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,935.60 : 616,866.60 = 270,930.80 : x
  2. Step 2: Convert to fraction form
    411,935.60/616,866.60 = 270,930.80/x
  3. Step 3: Cross multiply
    411,935.60x = 616,866.60 × 270,930.80
  4. Step 4: Simplify right side
    411,935.60x = 167,128,161,431.28
  5. Step 5: Solve for x
    x = 167,128,161,431.28/411,935.60
  6. Step 6: Final answer
    x = 405,714.29

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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.