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Finding the Fourth Proportional to 328,071.71, 491,932.60 and 169,907.87

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Solution

The fourth proportional to 328,071.71, 491,932.60 and 169,907.87 is: 254,771.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,071.71 : 491,932.60 = 169,907.87 : x
  2. Step 2: Convert to fraction form
    328,071.71/491,932.60 = 169,907.87/x
  3. Step 3: Cross multiply
    328,071.71x = 491,932.60 × 169,907.87
  4. Step 4: Simplify right side
    328,071.71x = 83,583,220,249.56
  5. Step 5: Solve for x
    x = 83,583,220,249.56/328,071.71
  6. Step 6: Final answer
    x = 254,771.19

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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.