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Finding the Fourth Proportional to 311,911.05, 467,866.58 and 170,193.45

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Solution

The fourth proportional to 311,911.05, 467,866.58 and 170,193.45 is: 255,290.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,911.05 : 467,866.58 = 170,193.45 : x
  2. Step 2: Convert to fraction form
    311,911.05/467,866.58 = 170,193.45/x
  3. Step 3: Cross multiply
    311,911.05x = 467,866.58 × 170,193.45
  4. Step 4: Simplify right side
    311,911.05x = 79,627,826,538.93
  5. Step 5: Solve for x
    x = 79,627,826,538.93/311,911.05
  6. Step 6: Final answer
    x = 255,290.18

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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.