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Finding the Fourth Proportional to 380,158.69, 570,016.60 and 166,918.09

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Solution

The fourth proportional to 380,158.69, 570,016.60 and 166,918.09 is: 250,279.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,158.69 : 570,016.60 = 166,918.09 : x
  2. Step 2: Convert to fraction form
    380,158.69/570,016.60 = 166,918.09/x
  3. Step 3: Cross multiply
    380,158.69x = 570,016.60 × 166,918.09
  4. Step 4: Simplify right side
    380,158.69x = 95,146,080,297.96
  5. Step 5: Solve for x
    x = 95,146,080,297.96/380,158.69
  6. Step 6: Final answer
    x = 250,279.91

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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.