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Finding the Fourth Proportional to 285,744.96, 427,917.48 and 201,297.60

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Solution

The fourth proportional to 285,744.96, 427,917.48 and 201,297.60 is: 301,453.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,744.96 : 427,917.48 = 201,297.60 : x
  2. Step 2: Convert to fraction form
    285,744.96/427,917.48 = 201,297.60/x
  3. Step 3: Cross multiply
    285,744.96x = 427,917.48 × 201,297.60
  4. Step 4: Simplify right side
    285,744.96x = 86,138,761,722.05
  5. Step 5: Solve for x
    x = 86,138,761,722.05/285,744.96
  6. Step 6: Final answer
    x = 301,453.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.