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Finding the Fourth Proportional to 408,856.82, 613,242.09 and 109,367.63

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Solution

The fourth proportional to 408,856.82, 613,242.09 and 109,367.63 is: 164,039.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,856.82 : 613,242.09 = 109,367.63 : x
  2. Step 2: Convert to fraction form
    408,856.82/613,242.09 = 109,367.63/x
  3. Step 3: Cross multiply
    408,856.82x = 613,242.09 × 109,367.63
  4. Step 4: Simplify right side
    408,856.82x = 67,068,830,933.34
  5. Step 5: Solve for x
    x = 67,068,830,933.34/408,856.82
  6. Step 6: Final answer
    x = 164,039.90

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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.