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Finding the Fourth Proportional to 299,249, 412,963.62 and 165,113

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Solution

The fourth proportional to 299,249, 412,963.62 and 165,113 is: 227,855.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,249 : 412,963.62 = 165,113 : x
  2. Step 2: Convert to fraction form
    299,249/412,963.62 = 165,113/x
  3. Step 3: Cross multiply
    299,249x = 412,963.62 × 165,113
  4. Step 4: Simplify right side
    299,249x = 68,185,662,189.06
  5. Step 5: Solve for x
    x = 68,185,662,189.06/299,249
  6. Step 6: Final answer
    x = 227,855.94

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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.