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Finding the Fourth Proportional to 407,168.38, 561,893.79 and 225,883.90

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Solution

The fourth proportional to 407,168.38, 561,893.79 and 225,883.90 is: 311,720.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,168.38 : 561,893.79 = 225,883.90 : x
  2. Step 2: Convert to fraction form
    407,168.38/561,893.79 = 225,883.90/x
  3. Step 3: Cross multiply
    407,168.38x = 561,893.79 × 225,883.90
  4. Step 4: Simplify right side
    407,168.38x = 126,922,760,670.98
  5. Step 5: Solve for x
    x = 126,922,760,670.98/407,168.38
  6. Step 6: Final answer
    x = 311,720.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.