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Finding the Fourth Proportional to 411,976, 618,299.22 and 212,353.47

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Solution

The fourth proportional to 411,976, 618,299.22 and 212,353.47 is: 318,702.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,976 : 618,299.22 = 212,353.47 : x
  2. Step 2: Convert to fraction form
    411,976/618,299.22 = 212,353.47/x
  3. Step 3: Cross multiply
    411,976x = 618,299.22 × 212,353.47
  4. Step 4: Simplify right side
    411,976x = 131,297,984,865.29
  5. Step 5: Solve for x
    x = 131,297,984,865.29/411,976
  6. Step 6: Final answer
    x = 318,702.99

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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.