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Finding the Fourth Proportional to 209,902.20, 314,853.30 and 207,933.90

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Solution

The fourth proportional to 209,902.20, 314,853.30 and 207,933.90 is: 311,900.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,902.20 : 314,853.30 = 207,933.90 : x
  2. Step 2: Convert to fraction form
    209,902.20/314,853.30 = 207,933.90/x
  3. Step 3: Cross multiply
    209,902.20x = 314,853.30 × 207,933.90
  4. Step 4: Simplify right side
    209,902.20x = 65,468,674,596.87
  5. Step 5: Solve for x
    x = 65,468,674,596.87/209,902.20
  6. Step 6: Final answer
    x = 311,900.85

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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.