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Finding the Fourth Proportional to 396,471.81, 547,131.62 and 215,183.74

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Solution

The fourth proportional to 396,471.81, 547,131.62 and 215,183.74 is: 296,953.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,471.81 : 547,131.62 = 215,183.74 : x
  2. Step 2: Convert to fraction form
    396,471.81/547,131.62 = 215,183.74/x
  3. Step 3: Cross multiply
    396,471.81x = 547,131.62 × 215,183.74
  4. Step 4: Simplify right side
    396,471.81x = 117,733,828,263.86
  5. Step 5: Solve for x
    x = 117,733,828,263.86/396,471.81
  6. Step 6: Final answer
    x = 296,953.84

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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.