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Finding the Fourth Proportional to 285,929.20, 428,764.20 and 108,377.20

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Solution

The fourth proportional to 285,929.20, 428,764.20 and 108,377.20 is: 162,516.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,929.20 : 428,764.20 = 108,377.20 : x
  2. Step 2: Convert to fraction form
    285,929.20/428,764.20 = 108,377.20/x
  3. Step 3: Cross multiply
    285,929.20x = 428,764.20 × 108,377.20
  4. Step 4: Simplify right side
    285,929.20x = 46,468,263,456.24
  5. Step 5: Solve for x
    x = 46,468,263,456.24/285,929.20
  6. Step 6: Final answer
    x = 162,516.68

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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.