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Finding the Fourth Proportional to 311,919.57, 467,830.53 and 101,556.09

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Solution

The fourth proportional to 311,919.57, 467,830.53 and 101,556.09 is: 152,318.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,919.57 : 467,830.53 = 101,556.09 : x
  2. Step 2: Convert to fraction form
    311,919.57/467,830.53 = 101,556.09/x
  3. Step 3: Cross multiply
    311,919.57x = 467,830.53 × 101,556.09
  4. Step 4: Simplify right side
    311,919.57x = 47,511,039,409.43
  5. Step 5: Solve for x
    x = 47,511,039,409.43/311,919.57
  6. Step 6: Final answer
    x = 152,318.24

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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.