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Finding the Fourth Proportional to 396,698.88, 594,032.40 and 219,008.64

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Solution

The fourth proportional to 396,698.88, 594,032.40 and 219,008.64 is: 327,952.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,698.88 : 594,032.40 = 219,008.64 : x
  2. Step 2: Convert to fraction form
    396,698.88/594,032.40 = 219,008.64/x
  3. Step 3: Cross multiply
    396,698.88x = 594,032.40 × 219,008.64
  4. Step 4: Simplify right side
    396,698.88x = 130,098,228,039.94
  5. Step 5: Solve for x
    x = 130,098,228,039.94/396,698.88
  6. Step 6: Final answer
    x = 327,952.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.