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Finding the Fourth Proportional to 471,208.78, 650,219.56 and 280,185.27

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Solution

The fourth proportional to 471,208.78, 650,219.56 and 280,185.27 is: 386,626.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,208.78 : 650,219.56 = 280,185.27 : x
  2. Step 2: Convert to fraction form
    471,208.78/650,219.56 = 280,185.27/x
  3. Step 3: Cross multiply
    471,208.78x = 650,219.56 × 280,185.27
  4. Step 4: Simplify right side
    471,208.78x = 182,181,942,977.88
  5. Step 5: Solve for x
    x = 182,181,942,977.88/471,208.78
  6. Step 6: Final answer
    x = 386,626.80

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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.