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Finding the Fourth Proportional to 339,898.14, 509,817.78 and 159,940.89

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Solution

The fourth proportional to 339,898.14, 509,817.78 and 159,940.89 is: 239,897.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,898.14 : 509,817.78 = 159,940.89 : x
  2. Step 2: Convert to fraction form
    339,898.14/509,817.78 = 159,940.89/x
  3. Step 3: Cross multiply
    339,898.14x = 509,817.78 × 159,940.89
  4. Step 4: Simplify right side
    339,898.14x = 81,540,709,471.02
  5. Step 5: Solve for x
    x = 81,540,709,471.02/339,898.14
  6. Step 6: Final answer
    x = 239,897.49

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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.