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Finding the Fourth Proportional to 328,636.82, 492,936.77 and 115,414.56

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Solution

The fourth proportional to 328,636.82, 492,936.77 and 115,414.56 is: 173,115.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,636.82 : 492,936.77 = 115,414.56 : x
  2. Step 2: Convert to fraction form
    328,636.82/492,936.77 = 115,414.56/x
  3. Step 3: Cross multiply
    328,636.82x = 492,936.77 × 115,414.56
  4. Step 4: Simplify right side
    328,636.82x = 56,892,080,705.91
  5. Step 5: Solve for x
    x = 56,892,080,705.91/328,636.82
  6. Step 6: Final answer
    x = 173,115.36

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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.