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Finding the Fourth Proportional to 766,644.72, 1,057,976.64 and 422,493

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Solution

The fourth proportional to 766,644.72, 1,057,976.64 and 422,493 is: 583,044.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,644.72 : 1,057,976.64 = 422,493 : x
  2. Step 2: Convert to fraction form
    766,644.72/1,057,976.64 = 422,493/x
  3. Step 3: Cross multiply
    766,644.72x = 1,057,976.64 × 422,493
  4. Step 4: Simplify right side
    766,644.72x = 446,987,724,563.52
  5. Step 5: Solve for x
    x = 446,987,724,563.52/766,644.72
  6. Step 6: Final answer
    x = 583,044.16

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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.