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Finding the Fourth Proportional to 408,524.88, 612,787.32 and 128,064

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Solution

The fourth proportional to 408,524.88, 612,787.32 and 128,064 is: 192,096

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,524.88 : 612,787.32 = 128,064 : x
  2. Step 2: Convert to fraction form
    408,524.88/612,787.32 = 128,064/x
  3. Step 3: Cross multiply
    408,524.88x = 612,787.32 × 128,064
  4. Step 4: Simplify right side
    408,524.88x = 78,475,995,348.48
  5. Step 5: Solve for x
    x = 78,475,995,348.48/408,524.88
  6. Step 6: Final answer
    x = 192,096

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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.