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Finding the Fourth Proportional to 408,426.26, 612,639.38 and 127,943.50

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Solution

The fourth proportional to 408,426.26, 612,639.38 and 127,943.50 is: 191,915.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,426.26 : 612,639.38 = 127,943.50 : x
  2. Step 2: Convert to fraction form
    408,426.26/612,639.38 = 127,943.50/x
  3. Step 3: Cross multiply
    408,426.26x = 612,639.38 × 127,943.50
  4. Step 4: Simplify right side
    408,426.26x = 78,383,226,515.03
  5. Step 5: Solve for x
    x = 78,383,226,515.03/408,426.26
  6. Step 6: Final answer
    x = 191,915.25

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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.