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Finding the Fourth Proportional to 396,705.56, 547,451.64 and 215,415.90

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Solution

The fourth proportional to 396,705.56, 547,451.64 and 215,415.90 is: 297,272.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,705.56 : 547,451.64 = 215,415.90 : x
  2. Step 2: Convert to fraction form
    396,705.56/547,451.64 = 215,415.90/x
  3. Step 3: Cross multiply
    396,705.56x = 547,451.64 × 215,415.90
  4. Step 4: Simplify right side
    396,705.56x = 117,929,787,737.08
  5. Step 5: Solve for x
    x = 117,929,787,737.08/396,705.56
  6. Step 6: Final answer
    x = 297,272.84

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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.