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Finding the Fourth Proportional to 339,741, 509,666.81 and 111,968.73

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Solution

The fourth proportional to 339,741, 509,666.81 and 111,968.73 is: 167,971.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,741 : 509,666.81 = 111,968.73 : x
  2. Step 2: Convert to fraction form
    339,741/509,666.81 = 111,968.73/x
  3. Step 3: Cross multiply
    339,741x = 509,666.81 × 111,968.73
  4. Step 4: Simplify right side
    339,741x = 57,066,744,879.01
  5. Step 5: Solve for x
    x = 57,066,744,879.01/339,741
  6. Step 6: Final answer
    x = 167,971.32

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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.