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Finding the Fourth Proportional to 408,859.32, 613,245.84 and 109,370.12

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Solution

The fourth proportional to 408,859.32, 613,245.84 and 109,370.12 is: 164,043.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,859.32 : 613,245.84 = 109,370.12 : x
  2. Step 2: Convert to fraction form
    408,859.32/613,245.84 = 109,370.12/x
  3. Step 3: Cross multiply
    408,859.32x = 613,245.84 × 109,370.12
  4. Step 4: Simplify right side
    408,859.32x = 67,070,771,110.30
  5. Step 5: Solve for x
    x = 67,070,771,110.30/408,859.32
  6. Step 6: Final answer
    x = 164,043.64

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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.