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Finding the Fourth Proportional to 551,002.80, 826,183 and 213,649.36

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Solution

The fourth proportional to 551,002.80, 826,183 and 213,649.36 is: 320,349.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,002.80 : 826,183 = 213,649.36 : x
  2. Step 2: Convert to fraction form
    551,002.80/826,183 = 213,649.36/x
  3. Step 3: Cross multiply
    551,002.80x = 826,183 × 213,649.36
  4. Step 4: Simplify right side
    551,002.80x = 176,513,469,192.88
  5. Step 5: Solve for x
    x = 176,513,469,192.88/551,002.80
  6. Step 6: Final answer
    x = 320,349.50

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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.