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Finding the Fourth Proportional to 207,906.70, 311,860.05 and 199,741.90

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Solution

The fourth proportional to 207,906.70, 311,860.05 and 199,741.90 is: 299,612.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,906.70 : 311,860.05 = 199,741.90 : x
  2. Step 2: Convert to fraction form
    207,906.70/311,860.05 = 199,741.90/x
  3. Step 3: Cross multiply
    207,906.70x = 311,860.05 × 199,741.90
  4. Step 4: Simplify right side
    207,906.70x = 62,291,518,921.10
  5. Step 5: Solve for x
    x = 62,291,518,921.10/207,906.70
  6. Step 6: Final answer
    x = 299,612.85

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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.