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Finding the Fourth Proportional to 339,506.54, 511,290.89 and 309,239.82

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Solution

The fourth proportional to 339,506.54, 511,290.89 and 309,239.82 is: 465,709.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,506.54 : 511,290.89 = 309,239.82 : x
  2. Step 2: Convert to fraction form
    339,506.54/511,290.89 = 309,239.82/x
  3. Step 3: Cross multiply
    339,506.54x = 511,290.89 × 309,239.82
  4. Step 4: Simplify right side
    339,506.54x = 158,111,502,791.24
  5. Step 5: Solve for x
    x = 158,111,502,791.24/339,506.54
  6. Step 6: Final answer
    x = 465,709.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.