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Finding the Fourth Proportional to 328,389.11, 491,845.53 and 199,957.54

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Solution

The fourth proportional to 328,389.11, 491,845.53 and 199,957.54 is: 299,486.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,389.11 : 491,845.53 = 199,957.54 : x
  2. Step 2: Convert to fraction form
    328,389.11/491,845.53 = 199,957.54/x
  3. Step 3: Cross multiply
    328,389.11x = 491,845.53 × 199,957.54
  4. Step 4: Simplify right side
    328,389.11x = 98,348,222,238.80
  5. Step 5: Solve for x
    x = 98,348,222,238.80/328,389.11
  6. Step 6: Final answer
    x = 299,486.86

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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.