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Finding the Fourth Proportional to 408,549.82, 612,923.21 and 128,067.07

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Solution

The fourth proportional to 408,549.82, 612,923.21 and 128,067.07 is: 192,131.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,549.82 : 612,923.21 = 128,067.07 : x
  2. Step 2: Convert to fraction form
    408,549.82/612,923.21 = 128,067.07/x
  3. Step 3: Cross multiply
    408,549.82x = 612,923.21 × 128,067.07
  4. Step 4: Simplify right side
    408,549.82x = 78,495,279,639.69
  5. Step 5: Solve for x
    x = 78,495,279,639.69/408,549.82
  6. Step 6: Final answer
    x = 192,131.48

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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.