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Finding the Fourth Proportional to 376,821.20, 565,231.80 and 341,391.80

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Solution

The fourth proportional to 376,821.20, 565,231.80 and 341,391.80 is: 512,087.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,821.20 : 565,231.80 = 341,391.80 : x
  2. Step 2: Convert to fraction form
    376,821.20/565,231.80 = 341,391.80/x
  3. Step 3: Cross multiply
    376,821.20x = 565,231.80 × 341,391.80
  4. Step 4: Simplify right side
    376,821.20x = 192,965,501,619.24
  5. Step 5: Solve for x
    x = 192,965,501,619.24/376,821.20
  6. Step 6: Final answer
    x = 512,087.70

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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.