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Finding the Fourth Proportional to 442,596.29, 664,049.95 and 189,866.57

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Solution

The fourth proportional to 442,596.29, 664,049.95 and 189,866.57 is: 284,866.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,596.29 : 664,049.95 = 189,866.57 : x
  2. Step 2: Convert to fraction form
    442,596.29/664,049.95 = 189,866.57/x
  3. Step 3: Cross multiply
    442,596.29x = 664,049.95 × 189,866.57
  4. Step 4: Simplify right side
    442,596.29x = 126,080,882,520.26
  5. Step 5: Solve for x
    x = 126,080,882,520.26/442,596.29
  6. Step 6: Final answer
    x = 284,866.56

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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.