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Finding the Fourth Proportional to 329,686.20, 494,529.30 and 119,296.80

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Solution

The fourth proportional to 329,686.20, 494,529.30 and 119,296.80 is: 178,945.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,686.20 : 494,529.30 = 119,296.80 : x
  2. Step 2: Convert to fraction form
    329,686.20/494,529.30 = 119,296.80/x
  3. Step 3: Cross multiply
    329,686.20x = 494,529.30 × 119,296.80
  4. Step 4: Simplify right side
    329,686.20x = 58,995,762,996.24
  5. Step 5: Solve for x
    x = 58,995,762,996.24/329,686.20
  6. Step 6: Final answer
    x = 178,945.20

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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.