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Finding the Fourth Proportional to 339,952.09, 509,872.67 and 100,009.86

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Solution

The fourth proportional to 339,952.09, 509,872.67 and 100,009.86 is: 149,998.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,952.09 : 509,872.67 = 100,009.86 : x
  2. Step 2: Convert to fraction form
    339,952.09/509,872.67 = 100,009.86/x
  3. Step 3: Cross multiply
    339,952.09x = 509,872.67 × 100,009.86
  4. Step 4: Simplify right side
    339,952.09x = 50,992,292,870.05
  5. Step 5: Solve for x
    x = 50,992,292,870.05/339,952.09
  6. Step 6: Final answer
    x = 149,998.47

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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.