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Finding the Fourth Proportional to 300,919.56, 415,266.12 and 164,961

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Solution

The fourth proportional to 300,919.56, 415,266.12 and 164,961 is: 227,644.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,919.56 : 415,266.12 = 164,961 : x
  2. Step 2: Convert to fraction form
    300,919.56/415,266.12 = 164,961/x
  3. Step 3: Cross multiply
    300,919.56x = 415,266.12 × 164,961
  4. Step 4: Simplify right side
    300,919.56x = 68,502,714,421.32
  5. Step 5: Solve for x
    x = 68,502,714,421.32/300,919.56
  6. Step 6: Final answer
    x = 227,644.61

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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.