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Finding the Fourth Proportional to 408,121.44, 612,181.32 and 108,602

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Solution

The fourth proportional to 408,121.44, 612,181.32 and 108,602 is: 162,902.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,121.44 : 612,181.32 = 108,602 : x
  2. Step 2: Convert to fraction form
    408,121.44/612,181.32 = 108,602/x
  3. Step 3: Cross multiply
    408,121.44x = 612,181.32 × 108,602
  4. Step 4: Simplify right side
    408,121.44x = 66,484,115,714.64
  5. Step 5: Solve for x
    x = 66,484,115,714.64/408,121.44
  6. Step 6: Final answer
    x = 162,902.78

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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.