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Finding the Fourth Proportional to 339,955.14, 509,489.24 and 140,074.28

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Solution

The fourth proportional to 339,955.14, 509,489.24 and 140,074.28 is: 209,928.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,955.14 : 509,489.24 = 140,074.28 : x
  2. Step 2: Convert to fraction form
    339,955.14/509,489.24 = 140,074.28/x
  3. Step 3: Cross multiply
    339,955.14x = 509,489.24 × 140,074.28
  4. Step 4: Simplify right side
    339,955.14x = 71,366,335,212.93
  5. Step 5: Solve for x
    x = 71,366,335,212.93/339,955.14
  6. Step 6: Final answer
    x = 209,928.68

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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.