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Finding the Fourth Proportional to 500,637.36, 690,896.16 and 274,297.44

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Solution

The fourth proportional to 500,637.36, 690,896.16 and 274,297.44 is: 378,539.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,637.36 : 690,896.16 = 274,297.44 : x
  2. Step 2: Convert to fraction form
    500,637.36/690,896.16 = 274,297.44/x
  3. Step 3: Cross multiply
    500,637.36x = 690,896.16 × 274,297.44
  4. Step 4: Simplify right side
    500,637.36x = 189,511,047,993.83
  5. Step 5: Solve for x
    x = 189,511,047,993.83/500,637.36
  6. Step 6: Final answer
    x = 378,539.56

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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.