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Finding the Fourth Proportional to 299,136, 412,836.84 and 165,000

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Solution

The fourth proportional to 299,136, 412,836.84 and 165,000 is: 227,716.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,136 : 412,836.84 = 165,000 : x
  2. Step 2: Convert to fraction form
    299,136/412,836.84 = 165,000/x
  3. Step 3: Cross multiply
    299,136x = 412,836.84 × 165,000
  4. Step 4: Simplify right side
    299,136x = 68,118,078,600.00
  5. Step 5: Solve for x
    x = 68,118,078,600.00/299,136
  6. Step 6: Final answer
    x = 227,716.08

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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.