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Finding the Fourth Proportional to 412,471.68, 618,906.24 and 212,801.28

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Solution

The fourth proportional to 412,471.68, 618,906.24 and 212,801.28 is: 319,304.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,471.68 : 618,906.24 = 212,801.28 : x
  2. Step 2: Convert to fraction form
    412,471.68/618,906.24 = 212,801.28/x
  3. Step 3: Cross multiply
    412,471.68x = 618,906.24 × 212,801.28
  4. Step 4: Simplify right side
    412,471.68x = 131,704,040,071.99
  5. Step 5: Solve for x
    x = 131,704,040,071.99/412,471.68
  6. Step 6: Final answer
    x = 319,304.44

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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.