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Finding the Fourth Proportional to 329,499.40, 494,832.30 and 254,801.20

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Solution

The fourth proportional to 329,499.40, 494,832.30 and 254,801.20 is: 382,652.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,499.40 : 494,832.30 = 254,801.20 : x
  2. Step 2: Convert to fraction form
    329,499.40/494,832.30 = 254,801.20/x
  3. Step 3: Cross multiply
    329,499.40x = 494,832.30 × 254,801.20
  4. Step 4: Simplify right side
    329,499.40x = 126,083,863,838.76
  5. Step 5: Solve for x
    x = 126,083,863,838.76/329,499.40
  6. Step 6: Final answer
    x = 382,652.79

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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.