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Finding the Fourth Proportional to 306,583.85, 422,647.24 and 215,657.60

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Solution

The fourth proportional to 306,583.85, 422,647.24 and 215,657.60 is: 297,299.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,583.85 : 422,647.24 = 215,657.60 : x
  2. Step 2: Convert to fraction form
    306,583.85/422,647.24 = 215,657.60/x
  3. Step 3: Cross multiply
    306,583.85x = 422,647.24 × 215,657.60
  4. Step 4: Simplify right side
    306,583.85x = 91,147,089,942.50
  5. Step 5: Solve for x
    x = 91,147,089,942.50/306,583.85
  6. Step 6: Final answer
    x = 297,299.06

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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.