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Finding the Fourth Proportional to 412,329.90, 618,299.91 and 159,728.70

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Solution

The fourth proportional to 412,329.90, 618,299.91 and 159,728.70 is: 239,517.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,329.90 : 618,299.91 = 159,728.70 : x
  2. Step 2: Convert to fraction form
    412,329.90/618,299.91 = 159,728.70/x
  3. Step 3: Cross multiply
    412,329.90x = 618,299.91 × 159,728.70
  4. Step 4: Simplify right side
    412,329.90x = 98,760,240,834.42
  5. Step 5: Solve for x
    x = 98,760,240,834.42/412,329.90
  6. Step 6: Final answer
    x = 239,517.53

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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.