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Finding the Fourth Proportional to 408,446.20, 612,669.66 and 127,985.32

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Solution

The fourth proportional to 408,446.20, 612,669.66 and 127,985.32 is: 191,978.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,446.20 : 612,669.66 = 127,985.32 : x
  2. Step 2: Convert to fraction form
    408,446.20/612,669.66 = 127,985.32/x
  3. Step 3: Cross multiply
    408,446.20x = 612,669.66 × 127,985.32
  4. Step 4: Simplify right side
    408,446.20x = 78,412,722,489.39
  5. Step 5: Solve for x
    x = 78,412,722,489.39/408,446.20
  6. Step 6: Final answer
    x = 191,978.09

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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.