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Finding the Fourth Proportional to 407,122.59, 561,832.57 and 225,846.42

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Solution

The fourth proportional to 407,122.59, 561,832.57 and 225,846.42 is: 311,669.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,122.59 : 561,832.57 = 225,846.42 : x
  2. Step 2: Convert to fraction form
    407,122.59/561,832.57 = 225,846.42/x
  3. Step 3: Cross multiply
    407,122.59x = 561,832.57 × 225,846.42
  4. Step 4: Simplify right side
    407,122.59x = 126,887,874,573.90
  5. Step 5: Solve for x
    x = 126,887,874,573.90/407,122.59
  6. Step 6: Final answer
    x = 311,669.94

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