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Finding the Fourth Proportional to 274,704.20, 412,056.30 and 212,419.40

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Solution

The fourth proportional to 274,704.20, 412,056.30 and 212,419.40 is: 318,629.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,704.20 : 412,056.30 = 212,419.40 : x
  2. Step 2: Convert to fraction form
    274,704.20/412,056.30 = 212,419.40/x
  3. Step 3: Cross multiply
    274,704.20x = 412,056.30 × 212,419.40
  4. Step 4: Simplify right side
    274,704.20x = 87,528,752,012.22
  5. Step 5: Solve for x
    x = 87,528,752,012.22/274,704.20
  6. Step 6: Final answer
    x = 318,629.10

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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.