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Finding the Fourth Proportional to 285,620.72, 394,066.52 and 164,745.80

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Solution

The fourth proportional to 285,620.72, 394,066.52 and 164,745.80 is: 227,297.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,620.72 : 394,066.52 = 164,745.80 : x
  2. Step 2: Convert to fraction form
    285,620.72/394,066.52 = 164,745.80/x
  3. Step 3: Cross multiply
    285,620.72x = 394,066.52 × 164,745.80
  4. Step 4: Simplify right side
    285,620.72x = 64,920,804,090.62
  5. Step 5: Solve for x
    x = 64,920,804,090.62/285,620.72
  6. Step 6: Final answer
    x = 227,297.25

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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.