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Finding the Fourth Proportional to 311,020.65, 429,101.51 and 188,552.52

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Solution

The fourth proportional to 311,020.65, 429,101.51 and 188,552.52 is: 260,137.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,020.65 : 429,101.51 = 188,552.52 : x
  2. Step 2: Convert to fraction form
    311,020.65/429,101.51 = 188,552.52/x
  3. Step 3: Cross multiply
    311,020.65x = 429,101.51 × 188,552.52
  4. Step 4: Simplify right side
    311,020.65x = 80,908,170,103.54
  5. Step 5: Solve for x
    x = 80,908,170,103.54/311,020.65
  6. Step 6: Final answer
    x = 260,137.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.