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Finding the Fourth Proportional to 408,035.82, 612,005.04 and 108,538.32

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Solution

The fourth proportional to 408,035.82, 612,005.04 and 108,538.32 is: 162,794.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,035.82 : 612,005.04 = 108,538.32 : x
  2. Step 2: Convert to fraction form
    408,035.82/612,005.04 = 108,538.32/x
  3. Step 3: Cross multiply
    408,035.82x = 612,005.04 × 108,538.32
  4. Step 4: Simplify right side
    408,035.82x = 66,425,998,873.13
  5. Step 5: Solve for x
    x = 66,425,998,873.13/408,035.82
  6. Step 6: Final answer
    x = 162,794.53

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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.