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Finding the Fourth Proportional to 328,071.96, 491,932.98 and 169,908.12

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Solution

The fourth proportional to 328,071.96, 491,932.98 and 169,908.12 is: 254,771.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,071.96 : 491,932.98 = 169,908.12 : x
  2. Step 2: Convert to fraction form
    328,071.96/491,932.98 = 169,908.12/x
  3. Step 3: Cross multiply
    328,071.96x = 491,932.98 × 169,908.12
  4. Step 4: Simplify right side
    328,071.96x = 83,583,407,797.80
  5. Step 5: Solve for x
    x = 83,583,407,797.80/328,071.96
  6. Step 6: Final answer
    x = 254,771.57

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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.