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Finding the Fourth Proportional to 339,830.08, 509,806.41 and 140,039.26

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Solution

The fourth proportional to 339,830.08, 509,806.41 and 140,039.26 is: 210,084.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,830.08 : 509,806.41 = 140,039.26 : x
  2. Step 2: Convert to fraction form
    339,830.08/509,806.41 = 140,039.26/x
  3. Step 3: Cross multiply
    339,830.08x = 509,806.41 × 140,039.26
  4. Step 4: Simplify right side
    339,830.08x = 71,392,912,399.66
  5. Step 5: Solve for x
    x = 71,392,912,399.66/339,830.08
  6. Step 6: Final answer
    x = 210,084.15

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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.