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Finding the Fourth Proportional to 396,662.40, 593,978.88 and 218,972.16

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Solution

The fourth proportional to 396,662.40, 593,978.88 and 218,972.16 is: 327,898.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,662.40 : 593,978.88 = 218,972.16 : x
  2. Step 2: Convert to fraction form
    396,662.40/593,978.88 = 218,972.16/x
  3. Step 3: Cross multiply
    396,662.40x = 593,978.88 × 218,972.16
  4. Step 4: Simplify right side
    396,662.40x = 130,064,838,347.98
  5. Step 5: Solve for x
    x = 130,064,838,347.98/396,662.40
  6. Step 6: Final answer
    x = 327,898.08

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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.