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Finding the Fourth Proportional to 442,620.70, 663,768.24 and 158,234.38

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Solution

The fourth proportional to 442,620.70, 663,768.24 and 158,234.38 is: 237,293.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,620.70 : 663,768.24 = 158,234.38 : x
  2. Step 2: Convert to fraction form
    442,620.70/663,768.24 = 158,234.38/x
  3. Step 3: Cross multiply
    442,620.70x = 663,768.24 × 158,234.38
  4. Step 4: Simplify right side
    442,620.70x = 105,030,955,920.09
  5. Step 5: Solve for x
    x = 105,030,955,920.09/442,620.70
  6. Step 6: Final answer
    x = 237,293.37

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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.