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Finding the Fourth Proportional to 275,717.60, 413,819.40 and 163,257.20

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Solution

The fourth proportional to 275,717.60, 413,819.40 and 163,257.20 is: 245,029.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,717.60 : 413,819.40 = 163,257.20 : x
  2. Step 2: Convert to fraction form
    275,717.60/413,819.40 = 163,257.20/x
  3. Step 3: Cross multiply
    275,717.60x = 413,819.40 × 163,257.20
  4. Step 4: Simplify right side
    275,717.60x = 67,558,996,549.68
  5. Step 5: Solve for x
    x = 67,558,996,549.68/275,717.60
  6. Step 6: Final answer
    x = 245,029.68

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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.