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Finding the Fourth Proportional to 557,635.82, 769,544.43 and 302,991.26

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Solution

The fourth proportional to 557,635.82, 769,544.43 and 302,991.26 is: 418,131.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,635.82 : 769,544.43 = 302,991.26 : x
  2. Step 2: Convert to fraction form
    557,635.82/769,544.43 = 302,991.26/x
  3. Step 3: Cross multiply
    557,635.82x = 769,544.43 × 302,991.26
  4. Step 4: Simplify right side
    557,635.82x = 233,165,236,471.68
  5. Step 5: Solve for x
    x = 233,165,236,471.68/557,635.82
  6. Step 6: Final answer
    x = 418,131.74

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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.