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Finding the Fourth Proportional to 442,964.20, 663,992.70 and 217,978.60

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Solution

The fourth proportional to 442,964.20, 663,992.70 and 217,978.60 is: 326,744.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,964.20 : 663,992.70 = 217,978.60 : x
  2. Step 2: Convert to fraction form
    442,964.20/663,992.70 = 217,978.60/x
  3. Step 3: Cross multiply
    442,964.20x = 663,992.70 × 217,978.60
  4. Step 4: Simplify right side
    442,964.20x = 144,736,199,156.22
  5. Step 5: Solve for x
    x = 144,736,199,156.22/442,964.20
  6. Step 6: Final answer
    x = 326,744.69

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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.