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Finding the Fourth Proportional to 431,986.14, 648,268.44 and 179,266.88

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Solution

The fourth proportional to 431,986.14, 648,268.44 and 179,266.88 is: 269,020.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,986.14 : 648,268.44 = 179,266.88 : x
  2. Step 2: Convert to fraction form
    431,986.14/648,268.44 = 179,266.88/x
  3. Step 3: Cross multiply
    431,986.14x = 648,268.44 × 179,266.88
  4. Step 4: Simplify right side
    431,986.14x = 116,213,059,692.85
  5. Step 5: Solve for x
    x = 116,213,059,692.85/431,986.14
  6. Step 6: Final answer
    x = 269,020.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.