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Finding the Fourth Proportional to 358,666.39, 494,940.66 and 205,696.67

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Solution

The fourth proportional to 358,666.39, 494,940.66 and 205,696.67 is: 283,850.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,666.39 : 494,940.66 = 205,696.67 : x
  2. Step 2: Convert to fraction form
    358,666.39/494,940.66 = 205,696.67/x
  3. Step 3: Cross multiply
    358,666.39x = 494,940.66 × 205,696.67
  4. Step 4: Simplify right side
    358,666.39x = 101,807,645,609.60
  5. Step 5: Solve for x
    x = 101,807,645,609.60/358,666.39
  6. Step 6: Final answer
    x = 283,850.54

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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.