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Finding the Fourth Proportional to 339,904, 509,856 and 161,871.28

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Solution

The fourth proportional to 339,904, 509,856 and 161,871.28 is: 242,806.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,904 : 509,856 = 161,871.28 : x
  2. Step 2: Convert to fraction form
    339,904/509,856 = 161,871.28/x
  3. Step 3: Cross multiply
    339,904x = 509,856 × 161,871.28
  4. Step 4: Simplify right side
    339,904x = 82,531,043,335.68
  5. Step 5: Solve for x
    x = 82,531,043,335.68/339,904
  6. Step 6: Final answer
    x = 242,806.92

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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.