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Finding the Fourth Proportional to 329,640.42, 494,535.19 and 105,013.65

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Solution

The fourth proportional to 329,640.42, 494,535.19 and 105,013.65 is: 157,544.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,640.42 : 494,535.19 = 105,013.65 : x
  2. Step 2: Convert to fraction form
    329,640.42/494,535.19 = 105,013.65/x
  3. Step 3: Cross multiply
    329,640.42x = 494,535.19 × 105,013.65
  4. Step 4: Simplify right side
    329,640.42x = 51,932,945,355.34
  5. Step 5: Solve for x
    x = 51,932,945,355.34/329,640.42
  6. Step 6: Final answer
    x = 157,544.23

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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.