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Finding the Fourth Proportional to 285,602.33, 428,463.64 and 108,105.41

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Solution

The fourth proportional to 285,602.33, 428,463.64 and 108,105.41 is: 162,180.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,602.33 : 428,463.64 = 108,105.41 : x
  2. Step 2: Convert to fraction form
    285,602.33/428,463.64 = 108,105.41/x
  3. Step 3: Cross multiply
    285,602.33x = 428,463.64 × 108,105.41
  4. Step 4: Simplify right side
    285,602.33x = 46,319,237,472.29
  5. Step 5: Solve for x
    x = 46,319,237,472.29/285,602.33
  6. Step 6: Final answer
    x = 162,180.88

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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.