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Finding the Fourth Proportional to 306,498.53, 422,961.41 and 177,442.45

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Solution

The fourth proportional to 306,498.53, 422,961.41 and 177,442.45 is: 244,866.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,498.53 : 422,961.41 = 177,442.45 : x
  2. Step 2: Convert to fraction form
    306,498.53/422,961.41 = 177,442.45/x
  3. Step 3: Cross multiply
    306,498.53x = 422,961.41 × 177,442.45
  4. Step 4: Simplify right side
    306,498.53x = 75,051,308,232.06
  5. Step 5: Solve for x
    x = 75,051,308,232.06/306,498.53
  6. Step 6: Final answer
    x = 244,866.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.