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Finding the Fourth Proportional to 339,881.42, 509,890.19 and 190,334.38

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Solution

The fourth proportional to 339,881.42, 509,890.19 and 190,334.38 is: 285,539.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,881.42 : 509,890.19 = 190,334.38 : x
  2. Step 2: Convert to fraction form
    339,881.42/509,890.19 = 190,334.38/x
  3. Step 3: Cross multiply
    339,881.42x = 509,890.19 × 190,334.38
  4. Step 4: Simplify right side
    339,881.42x = 97,049,633,181.73
  5. Step 5: Solve for x
    x = 97,049,633,181.73/339,881.42
  6. Step 6: Final answer
    x = 285,539.68

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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.