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Finding the Fourth Proportional to 275,262.30, 411,850.17 and 163,002.78

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Solution

The fourth proportional to 275,262.30, 411,850.17 and 163,002.78 is: 243,886.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,262.30 : 411,850.17 = 163,002.78 : x
  2. Step 2: Convert to fraction form
    275,262.30/411,850.17 = 163,002.78/x
  3. Step 3: Cross multiply
    275,262.30x = 411,850.17 × 163,002.78
  4. Step 4: Simplify right side
    275,262.30x = 67,132,722,653.47
  5. Step 5: Solve for x
    x = 67,132,722,653.47/275,262.30
  6. Step 6: Final answer
    x = 243,886.37

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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.