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Finding the Fourth Proportional to 442,651.85, 664,187.84 and 229,379.90

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Solution

The fourth proportional to 442,651.85, 664,187.84 and 229,379.90 is: 344,178.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,651.85 : 664,187.84 = 229,379.90 : x
  2. Step 2: Convert to fraction form
    442,651.85/664,187.84 = 229,379.90/x
  3. Step 3: Cross multiply
    442,651.85x = 664,187.84 × 229,379.90
  4. Step 4: Simplify right side
    442,651.85x = 152,351,336,712.75
  5. Step 5: Solve for x
    x = 152,351,336,712.75/442,651.85
  6. Step 6: Final answer
    x = 344,178.70

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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.