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Finding the Fourth Proportional to 426,196.80, 639,640.80 and 412,372.80

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Solution

The fourth proportional to 426,196.80, 639,640.80 and 412,372.80 is: 618,893.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,196.80 : 639,640.80 = 412,372.80 : x
  2. Step 2: Convert to fraction form
    426,196.80/639,640.80 = 412,372.80/x
  3. Step 3: Cross multiply
    426,196.80x = 639,640.80 × 412,372.80
  4. Step 4: Simplify right side
    426,196.80x = 263,770,467,690.24
  5. Step 5: Solve for x
    x = 263,770,467,690.24/426,196.80
  6. Step 6: Final answer
    x = 618,893.59

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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.