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Finding the Fourth Proportional to 408,043.24, 612,163.26 and 141,765

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Solution

The fourth proportional to 408,043.24, 612,163.26 and 141,765 is: 212,681.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,043.24 : 612,163.26 = 141,765 : x
  2. Step 2: Convert to fraction form
    408,043.24/612,163.26 = 141,765/x
  3. Step 3: Cross multiply
    408,043.24x = 612,163.26 × 141,765
  4. Step 4: Simplify right side
    408,043.24x = 86,783,324,553.90
  5. Step 5: Solve for x
    x = 86,783,324,553.90/408,043.24
  6. Step 6: Final answer
    x = 212,681.69

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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.