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Finding the Fourth Proportional to 207,969.70, 311,954.55 and 192,223.30

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Solution

The fourth proportional to 207,969.70, 311,954.55 and 192,223.30 is: 288,334.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,969.70 : 311,954.55 = 192,223.30 : x
  2. Step 2: Convert to fraction form
    207,969.70/311,954.55 = 192,223.30/x
  3. Step 3: Cross multiply
    207,969.70x = 311,954.55 × 192,223.30
  4. Step 4: Simplify right side
    207,969.70x = 59,964,933,051.02
  5. Step 5: Solve for x
    x = 59,964,933,051.02/207,969.70
  6. Step 6: Final answer
    x = 288,334.95

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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.