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Finding the Fourth Proportional to 279,994.10, 419,116.35 and 201,262.10

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Solution

The fourth proportional to 279,994.10, 419,116.35 and 201,262.10 is: 301,264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,994.10 : 419,116.35 = 201,262.10 : x
  2. Step 2: Convert to fraction form
    279,994.10/419,116.35 = 201,262.10/x
  3. Step 3: Cross multiply
    279,994.10x = 419,116.35 × 201,262.10
  4. Step 4: Simplify right side
    279,994.10x = 84,352,236,745.34
  5. Step 5: Solve for x
    x = 84,352,236,745.34/279,994.10
  6. Step 6: Final answer
    x = 301,264.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.