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Finding the Fourth Proportional to 207,857.40, 311,786.10 and 205,092.60

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Solution

The fourth proportional to 207,857.40, 311,786.10 and 205,092.60 is: 307,638.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,857.40 : 311,786.10 = 205,092.60 : x
  2. Step 2: Convert to fraction form
    207,857.40/311,786.10 = 205,092.60/x
  3. Step 3: Cross multiply
    207,857.40x = 311,786.10 × 205,092.60
  4. Step 4: Simplify right side
    207,857.40x = 63,945,021,892.86
  5. Step 5: Solve for x
    x = 63,945,021,892.86/207,857.40
  6. Step 6: Final answer
    x = 307,638.90

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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.