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Finding the Fourth Proportional to 449,013, 672,786.90 and 208,866

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Solution

The fourth proportional to 449,013, 672,786.90 and 208,866 is: 312,958.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,013 : 672,786.90 = 208,866 : x
  2. Step 2: Convert to fraction form
    449,013/672,786.90 = 208,866/x
  3. Step 3: Cross multiply
    449,013x = 672,786.90 × 208,866
  4. Step 4: Simplify right side
    449,013x = 140,522,308,655.40
  5. Step 5: Solve for x
    x = 140,522,308,655.40/449,013
  6. Step 6: Final answer
    x = 312,958.22

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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.