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Finding the Fourth Proportional to 471,399.54, 650,668.44 and 308,080.61

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Solution

The fourth proportional to 471,399.54, 650,668.44 and 308,080.61 is: 425,240.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,399.54 : 650,668.44 = 308,080.61 : x
  2. Step 2: Convert to fraction form
    471,399.54/650,668.44 = 308,080.61/x
  3. Step 3: Cross multiply
    471,399.54x = 650,668.44 × 308,080.61
  4. Step 4: Simplify right side
    471,399.54x = 200,458,329,902.95
  5. Step 5: Solve for x
    x = 200,458,329,902.95/471,399.54
  6. Step 6: Final answer
    x = 425,240.83

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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.