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Finding the Fourth Proportional to 447,713.76, 671,121.90 and 207,996.12

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Solution

The fourth proportional to 447,713.76, 671,121.90 and 207,996.12 is: 311,785.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,713.76 : 671,121.90 = 207,996.12 : x
  2. Step 2: Convert to fraction form
    447,713.76/671,121.90 = 207,996.12/x
  3. Step 3: Cross multiply
    447,713.76x = 671,121.90 × 207,996.12
  4. Step 4: Simplify right side
    447,713.76x = 139,590,751,247.03
  5. Step 5: Solve for x
    x = 139,590,751,247.03/447,713.76
  6. Step 6: Final answer
    x = 311,785.71

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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.