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Finding the Fourth Proportional to 329,603.20, 494,865.60 and 205,187.20

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Solution

The fourth proportional to 329,603.20, 494,865.60 and 205,187.20 is: 308,067.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,603.20 : 494,865.60 = 205,187.20 : x
  2. Step 2: Convert to fraction form
    329,603.20/494,865.60 = 205,187.20/x
  3. Step 3: Cross multiply
    329,603.20x = 494,865.60 × 205,187.20
  4. Step 4: Simplify right side
    329,603.20x = 101,540,086,840.32
  5. Step 5: Solve for x
    x = 101,540,086,840.32/329,603.20
  6. Step 6: Final answer
    x = 308,067.66

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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.