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Finding the Fourth Proportional to 408,523.88, 612,785.82 and 128,063

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Solution

The fourth proportional to 408,523.88, 612,785.82 and 128,063 is: 192,094.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,523.88 : 612,785.82 = 128,063 : x
  2. Step 2: Convert to fraction form
    408,523.88/612,785.82 = 128,063/x
  3. Step 3: Cross multiply
    408,523.88x = 612,785.82 × 128,063
  4. Step 4: Simplify right side
    408,523.88x = 78,475,190,466.66
  5. Step 5: Solve for x
    x = 78,475,190,466.66/408,523.88
  6. Step 6: Final answer
    x = 192,094.50

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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.