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Finding the Fourth Proportional to 212,815.20, 319,222.80 and 209,704.80

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Solution

The fourth proportional to 212,815.20, 319,222.80 and 209,704.80 is: 314,557.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,815.20 : 319,222.80 = 209,704.80 : x
  2. Step 2: Convert to fraction form
    212,815.20/319,222.80 = 209,704.80/x
  3. Step 3: Cross multiply
    212,815.20x = 319,222.80 × 209,704.80
  4. Step 4: Simplify right side
    212,815.20x = 66,942,553,429.44
  5. Step 5: Solve for x
    x = 66,942,553,429.44/212,815.20
  6. Step 6: Final answer
    x = 314,557.20

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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.