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Finding the Fourth Proportional to 442,574.85, 663,861.26 and 189,691.37

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Solution

The fourth proportional to 442,574.85, 663,861.26 and 189,691.37 is: 284,536.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,574.85 : 663,861.26 = 189,691.37 : x
  2. Step 2: Convert to fraction form
    442,574.85/663,861.26 = 189,691.37/x
  3. Step 3: Cross multiply
    442,574.85x = 663,861.26 × 189,691.37
  4. Step 4: Simplify right side
    442,574.85x = 125,928,749,054.25
  5. Step 5: Solve for x
    x = 125,928,749,054.25/442,574.85
  6. Step 6: Final answer
    x = 284,536.61

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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.