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Finding the Fourth Proportional to 198,509.80, 297,764.70 and 169,969.45

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Solution

The fourth proportional to 198,509.80, 297,764.70 and 169,969.45 is: 254,954.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,509.80 : 297,764.70 = 169,969.45 : x
  2. Step 2: Convert to fraction form
    198,509.80/297,764.70 = 169,969.45/x
  3. Step 3: Cross multiply
    198,509.80x = 297,764.70 × 169,969.45
  4. Step 4: Simplify right side
    198,509.80x = 50,610,902,288.42
  5. Step 5: Solve for x
    x = 50,610,902,288.42/198,509.80
  6. Step 6: Final answer
    x = 254,954.18

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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.