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Finding the Fourth Proportional to 339,936.48, 509,530.42 and 140,147.28

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Solution

The fourth proportional to 339,936.48, 509,530.42 and 140,147.28 is: 210,066.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,936.48 : 509,530.42 = 140,147.28 : x
  2. Step 2: Convert to fraction form
    339,936.48/509,530.42 = 140,147.28/x
  3. Step 3: Cross multiply
    339,936.48x = 509,530.42 × 140,147.28
  4. Step 4: Simplify right side
    339,936.48x = 71,409,302,440.26
  5. Step 5: Solve for x
    x = 71,409,302,440.26/339,936.48
  6. Step 6: Final answer
    x = 210,066.61

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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.