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Finding the Fourth Proportional to 500,687.54, 690,945.96 and 271,249.32

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Solution

The fourth proportional to 500,687.54, 690,945.96 and 271,249.32 is: 374,322.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,687.54 : 690,945.96 = 271,249.32 : x
  2. Step 2: Convert to fraction form
    500,687.54/690,945.96 = 271,249.32/x
  3. Step 3: Cross multiply
    500,687.54x = 690,945.96 × 271,249.32
  4. Step 4: Simplify right side
    500,687.54x = 187,418,621,806.75
  5. Step 5: Solve for x
    x = 187,418,621,806.75/500,687.54
  6. Step 6: Final answer
    x = 374,322.52

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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.