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Finding the Fourth Proportional to 339,998, 509,993.96 and 126,758.67

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Solution

The fourth proportional to 339,998, 509,993.96 and 126,758.67 is: 190,136.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,998 : 509,993.96 = 126,758.67 : x
  2. Step 2: Convert to fraction form
    339,998/509,993.96 = 126,758.67/x
  3. Step 3: Cross multiply
    339,998x = 509,993.96 × 126,758.67
  4. Step 4: Simplify right side
    339,998x = 64,646,153,527.66
  5. Step 5: Solve for x
    x = 64,646,153,527.66/339,998
  6. Step 6: Final answer
    x = 190,136.86

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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.