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Finding the Fourth Proportional to 286,878, 395,891.64 and 167,646

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Solution

The fourth proportional to 286,878, 395,891.64 and 167,646 is: 231,351.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,878 : 395,891.64 = 167,646 : x
  2. Step 2: Convert to fraction form
    286,878/395,891.64 = 167,646/x
  3. Step 3: Cross multiply
    286,878x = 395,891.64 × 167,646
  4. Step 4: Simplify right side
    286,878x = 66,369,649,879.44
  5. Step 5: Solve for x
    x = 66,369,649,879.44/286,878
  6. Step 6: Final answer
    x = 231,351.48

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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.