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Finding the Fourth Proportional to 481,473.56, 664,744.38 and 309,468.44

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Solution

The fourth proportional to 481,473.56, 664,744.38 and 309,468.44 is: 427,266.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,473.56 : 664,744.38 = 309,468.44 : x
  2. Step 2: Convert to fraction form
    481,473.56/664,744.38 = 309,468.44/x
  3. Step 3: Cross multiply
    481,473.56x = 664,744.38 × 309,468.44
  4. Step 4: Simplify right side
    481,473.56x = 205,717,406,277.37
  5. Step 5: Solve for x
    x = 205,717,406,277.37/481,473.56
  6. Step 6: Final answer
    x = 427,266.26

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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.