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Finding the Fourth Proportional to 449,728.86, 674,519.40 and 161,480.84

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Solution

The fourth proportional to 449,728.86, 674,519.40 and 161,480.84 is: 242,194.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,728.86 : 674,519.40 = 161,480.84 : x
  2. Step 2: Convert to fraction form
    449,728.86/674,519.40 = 161,480.84/x
  3. Step 3: Cross multiply
    449,728.86x = 674,519.40 × 161,480.84
  4. Step 4: Simplify right side
    449,728.86x = 108,921,959,308.30
  5. Step 5: Solve for x
    x = 108,921,959,308.30/449,728.86
  6. Step 6: Final answer
    x = 242,194.73

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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.