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Finding the Fourth Proportional to 408,821.80, 613,232.70 and 320,151.10

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Solution

The fourth proportional to 408,821.80, 613,232.70 and 320,151.10 is: 480,226.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,821.80 : 613,232.70 = 320,151.10 : x
  2. Step 2: Convert to fraction form
    408,821.80/613,232.70 = 320,151.10/x
  3. Step 3: Cross multiply
    408,821.80x = 613,232.70 × 320,151.10
  4. Step 4: Simplify right side
    408,821.80x = 196,327,123,460.97
  5. Step 5: Solve for x
    x = 196,327,123,460.97/408,821.80
  6. Step 6: Final answer
    x = 480,226.65

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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.