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Finding the Fourth Proportional to 223,463.85, 335,195.78 and 198,969.45

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Solution

The fourth proportional to 223,463.85, 335,195.78 and 198,969.45 is: 298,454.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,463.85 : 335,195.78 = 198,969.45 : x
  2. Step 2: Convert to fraction form
    223,463.85/335,195.78 = 198,969.45/x
  3. Step 3: Cross multiply
    223,463.85x = 335,195.78 × 198,969.45
  4. Step 4: Simplify right side
    223,463.85x = 66,693,718,994.07
  5. Step 5: Solve for x
    x = 66,693,718,994.07/223,463.85
  6. Step 6: Final answer
    x = 298,454.18

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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.