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Finding the Fourth Proportional to 412,284.88, 618,500.58 and 212,551.84

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Solution

The fourth proportional to 412,284.88, 618,500.58 and 212,551.84 is: 318,865.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,284.88 : 618,500.58 = 212,551.84 : x
  2. Step 2: Convert to fraction form
    412,284.88/618,500.58 = 212,551.84/x
  3. Step 3: Cross multiply
    412,284.88x = 618,500.58 × 212,551.84
  4. Step 4: Simplify right side
    412,284.88x = 131,463,436,320.07
  5. Step 5: Solve for x
    x = 131,463,436,320.07/412,284.88
  6. Step 6: Final answer
    x = 318,865.53

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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.