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Finding the Fourth Proportional to 408,023.26, 612,133.26 and 141,745.06

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Solution

The fourth proportional to 408,023.26, 612,133.26 and 141,745.06 is: 212,651.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,023.26 : 612,133.26 = 141,745.06 : x
  2. Step 2: Convert to fraction form
    408,023.26/612,133.26 = 141,745.06/x
  3. Step 3: Cross multiply
    408,023.26x = 612,133.26 × 141,745.06
  4. Step 4: Simplify right side
    408,023.26x = 86,766,865,666.70
  5. Step 5: Solve for x
    x = 86,766,865,666.70/408,023.26
  6. Step 6: Final answer
    x = 212,651.76

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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.