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Finding the Fourth Proportional to 391,115.22, 586,672.83 and 204,082.98

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Solution

The fourth proportional to 391,115.22, 586,672.83 and 204,082.98 is: 306,124.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,115.22 : 586,672.83 = 204,082.98 : x
  2. Step 2: Convert to fraction form
    391,115.22/586,672.83 = 204,082.98/x
  3. Step 3: Cross multiply
    391,115.22x = 586,672.83 × 204,082.98
  4. Step 4: Simplify right side
    391,115.22x = 119,729,939,431.43
  5. Step 5: Solve for x
    x = 119,729,939,431.43/391,115.22
  6. Step 6: Final answer
    x = 306,124.47

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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.