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Finding the Fourth Proportional to 299,121.36, 412,780.92 and 164,985.36

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Solution

The fourth proportional to 299,121.36, 412,780.92 and 164,985.36 is: 227,676.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,121.36 : 412,780.92 = 164,985.36 : x
  2. Step 2: Convert to fraction form
    299,121.36/412,780.92 = 164,985.36/x
  3. Step 3: Cross multiply
    299,121.36x = 412,780.92 × 164,985.36
  4. Step 4: Simplify right side
    299,121.36x = 68,102,808,687.33
  5. Step 5: Solve for x
    x = 68,102,808,687.33/299,121.36
  6. Step 6: Final answer
    x = 227,676.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.