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Finding the Fourth Proportional to 339,786.65, 509,741.49 and 139,996.01

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Solution

The fourth proportional to 339,786.65, 509,741.49 and 139,996.01 is: 210,019.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,786.65 : 509,741.49 = 139,996.01 : x
  2. Step 2: Convert to fraction form
    339,786.65/509,741.49 = 139,996.01/x
  3. Step 3: Cross multiply
    339,786.65x = 509,741.49 × 139,996.01
  4. Step 4: Simplify right side
    339,786.65x = 71,361,774,731.45
  5. Step 5: Solve for x
    x = 71,361,774,731.45/339,786.65
  6. Step 6: Final answer
    x = 210,019.36

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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.