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Finding the Fourth Proportional to 328,069.71, 491,929.61 and 169,905.87

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Solution

The fourth proportional to 328,069.71, 491,929.61 and 169,905.87 is: 254,768.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,069.71 : 491,929.61 = 169,905.87 : x
  2. Step 2: Convert to fraction form
    328,069.71/491,929.61 = 169,905.87/x
  3. Step 3: Cross multiply
    328,069.71x = 491,929.61 × 169,905.87
  4. Step 4: Simplify right side
    328,069.71x = 83,581,727,516.28
  5. Step 5: Solve for x
    x = 83,581,727,516.28/328,069.71
  6. Step 6: Final answer
    x = 254,768.19

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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.