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Finding the Fourth Proportional to 339,405.90, 468,401.31 and 188,502.54

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Solution

The fourth proportional to 339,405.90, 468,401.31 and 188,502.54 is: 260,145.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,405.90 : 468,401.31 = 188,502.54 : x
  2. Step 2: Convert to fraction form
    339,405.90/468,401.31 = 188,502.54/x
  3. Step 3: Cross multiply
    339,405.90x = 468,401.31 × 188,502.54
  4. Step 4: Simplify right side
    339,405.90x = 88,294,836,674.33
  5. Step 5: Solve for x
    x = 88,294,836,674.33/339,405.90
  6. Step 6: Final answer
    x = 260,145.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.