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Finding the Fourth Proportional to 299,198.61, 412,892.11 and 170,137.10

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Solution

The fourth proportional to 299,198.61, 412,892.11 and 170,137.10 is: 234,788.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,198.61 : 412,892.11 = 170,137.10 : x
  2. Step 2: Convert to fraction form
    299,198.61/412,892.11 = 170,137.10/x
  3. Step 3: Cross multiply
    299,198.61x = 412,892.11 × 170,137.10
  4. Step 4: Simplify right side
    299,198.61x = 70,248,267,453.18
  5. Step 5: Solve for x
    x = 70,248,267,453.18/299,198.61
  6. Step 6: Final answer
    x = 234,788.08

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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.