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Finding the Fourth Proportional to 209,912.60, 314,868.90 and 192,197.90

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Solution

The fourth proportional to 209,912.60, 314,868.90 and 192,197.90 is: 288,296.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,912.60 : 314,868.90 = 192,197.90 : x
  2. Step 2: Convert to fraction form
    209,912.60/314,868.90 = 192,197.90/x
  3. Step 3: Cross multiply
    209,912.60x = 314,868.90 × 192,197.90
  4. Step 4: Simplify right side
    209,912.60x = 60,517,141,355.31
  5. Step 5: Solve for x
    x = 60,517,141,355.31/209,912.60
  6. Step 6: Final answer
    x = 288,296.85

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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.