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Finding the Fourth Proportional to 299,128.50, 412,797.33 and 164,992.50

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Solution

The fourth proportional to 299,128.50, 412,797.33 and 164,992.50 is: 227,689.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,128.50 : 412,797.33 = 164,992.50 : x
  2. Step 2: Convert to fraction form
    299,128.50/412,797.33 = 164,992.50/x
  3. Step 3: Cross multiply
    299,128.50x = 412,797.33 × 164,992.50
  4. Step 4: Simplify right side
    299,128.50x = 68,108,463,470.03
  5. Step 5: Solve for x
    x = 68,108,463,470.03/299,128.50
  6. Step 6: Final answer
    x = 227,689.65

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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.