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Finding the Fourth Proportional to 396,893.04, 547,749.72 and 282,378.48

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Solution

The fourth proportional to 396,893.04, 547,749.72 and 282,378.48 is: 389,708.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,893.04 : 547,749.72 = 282,378.48 : x
  2. Step 2: Convert to fraction form
    396,893.04/547,749.72 = 282,378.48/x
  3. Step 3: Cross multiply
    396,893.04x = 547,749.72 × 282,378.48
  4. Step 4: Simplify right side
    396,893.04x = 154,672,733,354.03
  5. Step 5: Solve for x
    x = 154,672,733,354.03/396,893.04
  6. Step 6: Final answer
    x = 389,708.86

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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.