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Finding the Fourth Proportional to 408,523.94, 612,785.97 and 109,005.64

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Solution

The fourth proportional to 408,523.94, 612,785.97 and 109,005.64 is: 163,508.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,523.94 : 612,785.97 = 109,005.64 : x
  2. Step 2: Convert to fraction form
    408,523.94/612,785.97 = 109,005.64/x
  3. Step 3: Cross multiply
    408,523.94x = 612,785.97 × 109,005.64
  4. Step 4: Simplify right side
    408,523.94x = 66,797,126,842.87
  5. Step 5: Solve for x
    x = 66,797,126,842.87/408,523.94
  6. Step 6: Final answer
    x = 163,508.48

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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.