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Finding the Fourth Proportional to 408,194.88, 612,281 and 108,678.04

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Solution

The fourth proportional to 408,194.88, 612,281 and 108,678.04 is: 163,014.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,194.88 : 612,281 = 108,678.04 : x
  2. Step 2: Convert to fraction form
    408,194.88/612,281 = 108,678.04/x
  3. Step 3: Cross multiply
    408,194.88x = 612,281 × 108,678.04
  4. Step 4: Simplify right side
    408,194.88x = 66,541,499,009.24
  5. Step 5: Solve for x
    x = 66,541,499,009.24/408,194.88
  6. Step 6: Final answer
    x = 163,014.05

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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.