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Finding the Fourth Proportional to 328,388.11, 491,844.03 and 199,956.54

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Solution

The fourth proportional to 328,388.11, 491,844.03 and 199,956.54 is: 299,485.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,388.11 : 491,844.03 = 199,956.54 : x
  2. Step 2: Convert to fraction form
    328,388.11/491,844.03 = 199,956.54/x
  3. Step 3: Cross multiply
    328,388.11x = 491,844.03 × 199,956.54
  4. Step 4: Simplify right side
    328,388.11x = 98,347,430,458.46
  5. Step 5: Solve for x
    x = 98,347,430,458.46/328,388.11
  6. Step 6: Final answer
    x = 299,485.36

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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.