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Finding the Fourth Proportional to 209,318.20, 313,977.30 and 207,349.90

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Solution

The fourth proportional to 209,318.20, 313,977.30 and 207,349.90 is: 311,024.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,318.20 : 313,977.30 = 207,349.90 : x
  2. Step 2: Convert to fraction form
    209,318.20/313,977.30 = 207,349.90/x
  3. Step 3: Cross multiply
    209,318.20x = 313,977.30 × 207,349.90
  4. Step 4: Simplify right side
    209,318.20x = 65,103,161,757.27
  5. Step 5: Solve for x
    x = 65,103,161,757.27/209,318.20
  6. Step 6: Final answer
    x = 311,024.85

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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.