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Finding the Fourth Proportional to 329,830.20, 494,745.30 and 163,942.20

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Solution

The fourth proportional to 329,830.20, 494,745.30 and 163,942.20 is: 245,913.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,830.20 : 494,745.30 = 163,942.20 : x
  2. Step 2: Convert to fraction form
    329,830.20/494,745.30 = 163,942.20/x
  3. Step 3: Cross multiply
    329,830.20x = 494,745.30 × 163,942.20
  4. Step 4: Simplify right side
    329,830.20x = 81,109,632,921.66
  5. Step 5: Solve for x
    x = 81,109,632,921.66/329,830.20
  6. Step 6: Final answer
    x = 245,913.30

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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.