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Finding the Fourth Proportional to 396,455.40, 593,468.10 and 218,417.40

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Solution

The fourth proportional to 396,455.40, 593,468.10 and 218,417.40 is: 326,956.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,455.40 : 593,468.10 = 218,417.40 : x
  2. Step 2: Convert to fraction form
    396,455.40/593,468.10 = 218,417.40/x
  3. Step 3: Cross multiply
    396,455.40x = 593,468.10 × 218,417.40
  4. Step 4: Simplify right side
    396,455.40x = 129,623,759,384.94
  5. Step 5: Solve for x
    x = 129,623,759,384.94/396,455.40
  6. Step 6: Final answer
    x = 326,956.73

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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.