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Finding the Fourth Proportional to 339,959.97, 509,709.92 and 190,303.56

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Solution

The fourth proportional to 339,959.97, 509,709.92 and 190,303.56 is: 285,326.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,959.97 : 509,709.92 = 190,303.56 : x
  2. Step 2: Convert to fraction form
    339,959.97/509,709.92 = 190,303.56/x
  3. Step 3: Cross multiply
    339,959.97x = 509,709.92 × 190,303.56
  4. Step 4: Simplify right side
    339,959.97x = 96,999,611,391.80
  5. Step 5: Solve for x
    x = 96,999,611,391.80/339,959.97
  6. Step 6: Final answer
    x = 285,326.57

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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.