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Finding the Fourth Proportional to 328,906.89, 493,319.31 and 92,268.02

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Solution

The fourth proportional to 328,906.89, 493,319.31 and 92,268.02 is: 138,390.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,906.89 : 493,319.31 = 92,268.02 : x
  2. Step 2: Convert to fraction form
    328,906.89/493,319.31 = 92,268.02/x
  3. Step 3: Cross multiply
    328,906.89x = 493,319.31 × 92,268.02
  4. Step 4: Simplify right side
    328,906.89x = 45,517,593,494.87
  5. Step 5: Solve for x
    x = 45,517,593,494.87/328,906.89
  6. Step 6: Final answer
    x = 138,390.51

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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.