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Finding the Fourth Proportional to 286,420.33, 395,207.94 and 165,517.30

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Solution

The fourth proportional to 286,420.33, 395,207.94 and 165,517.30 is: 228,383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,420.33 : 395,207.94 = 165,517.30 : x
  2. Step 2: Convert to fraction form
    286,420.33/395,207.94 = 165,517.30/x
  3. Step 3: Cross multiply
    286,420.33x = 395,207.94 × 165,517.30
  4. Step 4: Simplify right side
    286,420.33x = 65,413,751,167.36
  5. Step 5: Solve for x
    x = 65,413,751,167.36/286,420.33
  6. Step 6: Final answer
    x = 228,383.76

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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.