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Finding the Fourth Proportional to 207,943.10, 311,914.65 and 194,821.10

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Solution

The fourth proportional to 207,943.10, 311,914.65 and 194,821.10 is: 292,231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,943.10 : 311,914.65 = 194,821.10 : x
  2. Step 2: Convert to fraction form
    207,943.10/311,914.65 = 194,821.10/x
  3. Step 3: Cross multiply
    207,943.10x = 311,914.65 × 194,821.10
  4. Step 4: Simplify right side
    207,943.10x = 60,767,555,219.12
  5. Step 5: Solve for x
    x = 60,767,555,219.12/207,943.10
  6. Step 6: Final answer
    x = 292,231.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.