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Finding the Fourth Proportional to 412,670.43, 618,801.39 and 146,391.03

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Solution

The fourth proportional to 412,670.43, 618,801.39 and 146,391.03 is: 219,514.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,670.43 : 618,801.39 = 146,391.03 : x
  2. Step 2: Convert to fraction form
    412,670.43/618,801.39 = 146,391.03/x
  3. Step 3: Cross multiply
    412,670.43x = 618,801.39 × 146,391.03
  4. Step 4: Simplify right side
    412,670.43x = 90,586,972,847.53
  5. Step 5: Solve for x
    x = 90,586,972,847.53/412,670.43
  6. Step 6: Final answer
    x = 219,514.09

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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.