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Finding the Fourth Proportional to 422,388.41, 635,380.59 and 382,883.78

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Solution

The fourth proportional to 422,388.41, 635,380.59 and 382,883.78 is: 575,955.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,388.41 : 635,380.59 = 382,883.78 : x
  2. Step 2: Convert to fraction form
    422,388.41/635,380.59 = 382,883.78/x
  3. Step 3: Cross multiply
    422,388.41x = 635,380.59 × 382,883.78
  4. Step 4: Simplify right side
    422,388.41x = 243,276,922,037.83
  5. Step 5: Solve for x
    x = 243,276,922,037.83/422,388.41
  6. Step 6: Final answer
    x = 575,955.49

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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.