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Finding the Fourth Proportional to 442,754, 664,131 and 147,266

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Solution

The fourth proportional to 442,754, 664,131 and 147,266 is: 220,899

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,754 : 664,131 = 147,266 : x
  2. Step 2: Convert to fraction form
    442,754/664,131 = 147,266/x
  3. Step 3: Cross multiply
    442,754x = 664,131 × 147,266
  4. Step 4: Simplify right side
    442,754x = 97,803,915,846
  5. Step 5: Solve for x
    x = 97,803,915,846/442,754
  6. Step 6: Final answer
    x = 220,899

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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.