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Finding the Fourth Proportional to 449,438.76, 674,255.34 and 133,921.08

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Solution

The fourth proportional to 449,438.76, 674,255.34 and 133,921.08 is: 200,910.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,438.76 : 674,255.34 = 133,921.08 : x
  2. Step 2: Convert to fraction form
    449,438.76/674,255.34 = 133,921.08/x
  3. Step 3: Cross multiply
    449,438.76x = 674,255.34 × 133,921.08
  4. Step 4: Simplify right side
    449,438.76x = 90,297,003,328.57
  5. Step 5: Solve for x
    x = 90,297,003,328.57/449,438.76
  6. Step 6: Final answer
    x = 200,910.58

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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.