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Finding the Fourth Proportional to 339,606.38, 509,516.25 and 140,020.70

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Solution

The fourth proportional to 339,606.38, 509,516.25 and 140,020.70 is: 210,075.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,606.38 : 509,516.25 = 140,020.70 : x
  2. Step 2: Convert to fraction form
    339,606.38/509,516.25 = 140,020.70/x
  3. Step 3: Cross multiply
    339,606.38x = 509,516.25 × 140,020.70
  4. Step 4: Simplify right side
    339,606.38x = 71,342,821,986.38
  5. Step 5: Solve for x
    x = 71,342,821,986.38/339,606.38
  6. Step 6: Final answer
    x = 210,075.03

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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.