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Finding the Fourth Proportional to 207,771.40, 311,657.10 and 206,459.20

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Solution

The fourth proportional to 207,771.40, 311,657.10 and 206,459.20 is: 309,688.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,771.40 : 311,657.10 = 206,459.20 : x
  2. Step 2: Convert to fraction form
    207,771.40/311,657.10 = 206,459.20/x
  3. Step 3: Cross multiply
    207,771.40x = 311,657.10 × 206,459.20
  4. Step 4: Simplify right side
    207,771.40x = 64,344,475,540.32
  5. Step 5: Solve for x
    x = 64,344,475,540.32/207,771.40
  6. Step 6: Final answer
    x = 309,688.80

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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.