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Finding the Fourth Proportional to 339,743.97, 509,616.05 and 99,857.91

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Solution

The fourth proportional to 339,743.97, 509,616.05 and 99,857.91 is: 149,786.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,743.97 : 509,616.05 = 99,857.91 : x
  2. Step 2: Convert to fraction form
    339,743.97/509,616.05 = 99,857.91/x
  3. Step 3: Cross multiply
    339,743.97x = 509,616.05 × 99,857.91
  4. Step 4: Simplify right side
    339,743.97x = 50,889,193,156.17
  5. Step 5: Solve for x
    x = 50,889,193,156.17/339,743.97
  6. Step 6: Final answer
    x = 149,786.89

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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.