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Finding the Fourth Proportional to 328,389.86, 491,846.66 and 199,958.28

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Solution

The fourth proportional to 328,389.86, 491,846.66 and 199,958.28 is: 299,487.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,389.86 : 491,846.66 = 199,958.28 : x
  2. Step 2: Convert to fraction form
    328,389.86/491,846.66 = 199,958.28/x
  3. Step 3: Cross multiply
    328,389.86x = 491,846.66 × 199,958.28
  4. Step 4: Simplify right side
    328,389.86x = 98,348,812,157.34
  5. Step 5: Solve for x
    x = 98,348,812,157.34/328,389.86
  6. Step 6: Final answer
    x = 299,487.97

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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.