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Finding the Fourth Proportional to 285,764.20, 428,516.70 and 108,212.20

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Solution

The fourth proportional to 285,764.20, 428,516.70 and 108,212.20 is: 162,269.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,764.20 : 428,516.70 = 108,212.20 : x
  2. Step 2: Convert to fraction form
    285,764.20/428,516.70 = 108,212.20/x
  3. Step 3: Cross multiply
    285,764.20x = 428,516.70 × 108,212.20
  4. Step 4: Simplify right side
    285,764.20x = 46,370,734,843.74
  5. Step 5: Solve for x
    x = 46,370,734,843.74/285,764.20
  6. Step 6: Final answer
    x = 162,269.22

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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.