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Finding the Fourth Proportional to 396,465.81, 547,123.36 and 215,177.74

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Solution

The fourth proportional to 396,465.81, 547,123.36 and 215,177.74 is: 296,945.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,465.81 : 547,123.36 = 215,177.74 : x
  2. Step 2: Convert to fraction form
    396,465.81/547,123.36 = 215,177.74/x
  3. Step 3: Cross multiply
    396,465.81x = 547,123.36 × 215,177.74
  4. Step 4: Simplify right side
    396,465.81x = 117,728,768,142.50
  5. Step 5: Solve for x
    x = 117,728,768,142.50/396,465.81
  6. Step 6: Final answer
    x = 296,945.57

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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.