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Finding the Fourth Proportional to 412,816.62, 618,627.26 and 284,601.30

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Solution

The fourth proportional to 412,816.62, 618,627.26 and 284,601.30 is: 426,489.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,816.62 : 618,627.26 = 284,601.30 : x
  2. Step 2: Convert to fraction form
    412,816.62/618,627.26 = 284,601.30/x
  3. Step 3: Cross multiply
    412,816.62x = 618,627.26 × 284,601.30
  4. Step 4: Simplify right side
    412,816.62x = 176,062,122,411.44
  5. Step 5: Solve for x
    x = 176,062,122,411.44/412,816.62
  6. Step 6: Final answer
    x = 426,489.91

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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.