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Finding the Fourth Proportional to 329,805, 494,375.22 and 130,047.96

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Solution

The fourth proportional to 329,805, 494,375.22 and 130,047.96 is: 194,940.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,805 : 494,375.22 = 130,047.96 : x
  2. Step 2: Convert to fraction form
    329,805/494,375.22 = 130,047.96/x
  3. Step 3: Cross multiply
    329,805x = 494,375.22 × 130,047.96
  4. Step 4: Simplify right side
    329,805x = 64,292,488,835.55
  5. Step 5: Solve for x
    x = 64,292,488,835.55/329,805
  6. Step 6: Final answer
    x = 194,940.92

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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.