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Finding the Fourth Proportional to 396,244, 546,826.32 and 217,396

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Solution

The fourth proportional to 396,244, 546,826.32 and 217,396 is: 300,011.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,244 : 546,826.32 = 217,396 : x
  2. Step 2: Convert to fraction form
    396,244/546,826.32 = 217,396/x
  3. Step 3: Cross multiply
    396,244x = 546,826.32 × 217,396
  4. Step 4: Simplify right side
    396,244x = 118,877,854,662.72
  5. Step 5: Solve for x
    x = 118,877,854,662.72/396,244
  6. Step 6: Final answer
    x = 300,011.75

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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.