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Finding the Fourth Proportional to 306,357.58, 422,743.83 and 177,270.29

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Solution

The fourth proportional to 306,357.58, 422,743.83 and 177,270.29 is: 244,615.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,357.58 : 422,743.83 = 177,270.29 : x
  2. Step 2: Convert to fraction form
    306,357.58/422,743.83 = 177,270.29/x
  3. Step 3: Cross multiply
    306,357.58x = 422,743.83 × 177,270.29
  4. Step 4: Simplify right side
    306,357.58x = 74,939,923,521.70
  5. Step 5: Solve for x
    x = 74,939,923,521.70/306,357.58
  6. Step 6: Final answer
    x = 244,615.87

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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.