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Finding the Fourth Proportional to 408,119.44, 612,178.32 and 108,600

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Solution

The fourth proportional to 408,119.44, 612,178.32 and 108,600 is: 162,899.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,119.44 : 612,178.32 = 108,600 : x
  2. Step 2: Convert to fraction form
    408,119.44/612,178.32 = 108,600/x
  3. Step 3: Cross multiply
    408,119.44x = 612,178.32 × 108,600
  4. Step 4: Simplify right side
    408,119.44x = 66,482,565,552.00
  5. Step 5: Solve for x
    x = 66,482,565,552.00/408,119.44
  6. Step 6: Final answer
    x = 162,899.78

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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.