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Finding the Fourth Proportional to 339,843.39, 509,826.29 and 277,218.75

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Solution

The fourth proportional to 339,843.39, 509,826.29 and 277,218.75 is: 415,878.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,843.39 : 509,826.29 = 277,218.75 : x
  2. Step 2: Convert to fraction form
    339,843.39/509,826.29 = 277,218.75/x
  3. Step 3: Cross multiply
    339,843.39x = 509,826.29 × 277,218.75
  4. Step 4: Simplify right side
    339,843.39x = 141,333,405,444.84
  5. Step 5: Solve for x
    x = 141,333,405,444.84/339,843.39
  6. Step 6: Final answer
    x = 415,878.05

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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.