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Finding the Fourth Proportional to 442,756, 664,134 and 147,268

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Solution

The fourth proportional to 442,756, 664,134 and 147,268 is: 220,902

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,756 : 664,134 = 147,268 : x
  2. Step 2: Convert to fraction form
    442,756/664,134 = 147,268/x
  3. Step 3: Cross multiply
    442,756x = 664,134 × 147,268
  4. Step 4: Simplify right side
    442,756x = 97,805,685,912
  5. Step 5: Solve for x
    x = 97,805,685,912/442,756
  6. Step 6: Final answer
    x = 220,902

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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.