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Finding the Fourth Proportional to 408,107.52, 612,224.66 and 208,319.80

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Solution

The fourth proportional to 408,107.52, 612,224.66 and 208,319.80 is: 312,512.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,107.52 : 612,224.66 = 208,319.80 : x
  2. Step 2: Convert to fraction form
    408,107.52/612,224.66 = 208,319.80/x
  3. Step 3: Cross multiply
    408,107.52x = 612,224.66 × 208,319.80
  4. Step 4: Simplify right side
    408,107.52x = 127,538,517,684.67
  5. Step 5: Solve for x
    x = 127,538,517,684.67/408,107.52
  6. Step 6: Final answer
    x = 312,512.05

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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.