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Finding the Fourth Proportional to 339,507.79, 511,292.78 and 309,241.07

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Solution

The fourth proportional to 339,507.79, 511,292.78 and 309,241.07 is: 465,711.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,507.79 : 511,292.78 = 309,241.07 : x
  2. Step 2: Convert to fraction form
    339,507.79/511,292.78 = 309,241.07/x
  3. Step 3: Cross multiply
    339,507.79x = 511,292.78 × 309,241.07
  4. Step 4: Simplify right side
    339,507.79x = 158,112,726,370.48
  5. Step 5: Solve for x
    x = 158,112,726,370.48/339,507.79
  6. Step 6: Final answer
    x = 465,711.63

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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.