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Finding the Fourth Proportional to 442,653.85, 664,190.84 and 229,381.90

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Solution

The fourth proportional to 442,653.85, 664,190.84 and 229,381.90 is: 344,181.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,653.85 : 664,190.84 = 229,381.90 : x
  2. Step 2: Convert to fraction form
    442,653.85/664,190.84 = 229,381.90/x
  3. Step 3: Cross multiply
    442,653.85x = 664,190.84 × 229,381.90
  4. Step 4: Simplify right side
    442,653.85x = 152,353,356,841.80
  5. Step 5: Solve for x
    x = 152,353,356,841.80/442,653.85
  6. Step 6: Final answer
    x = 344,181.71

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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.