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Finding the Fourth Proportional to 465,751.49, 642,805.13 and 261,819.21

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Solution

The fourth proportional to 465,751.49, 642,805.13 and 261,819.21 is: 361,348.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,751.49 : 642,805.13 = 261,819.21 : x
  2. Step 2: Convert to fraction form
    465,751.49/642,805.13 = 261,819.21/x
  3. Step 3: Cross multiply
    465,751.49x = 642,805.13 × 261,819.21
  4. Step 4: Simplify right side
    465,751.49x = 168,298,731,320.55
  5. Step 5: Solve for x
    x = 168,298,731,320.55/465,751.49
  6. Step 6: Final answer
    x = 361,348.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.