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Finding the Fourth Proportional to 306,040.40, 422,266.56 and 185,178.68

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Solution

The fourth proportional to 306,040.40, 422,266.56 and 185,178.68 is: 255,504.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,040.40 : 422,266.56 = 185,178.68 : x
  2. Step 2: Convert to fraction form
    306,040.40/422,266.56 = 185,178.68/x
  3. Step 3: Cross multiply
    306,040.40x = 422,266.56 × 185,178.68
  4. Step 4: Simplify right side
    306,040.40x = 78,194,764,188.94
  5. Step 5: Solve for x
    x = 78,194,764,188.94/306,040.40
  6. Step 6: Final answer
    x = 255,504.71

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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.