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Finding the Fourth Proportional to 339,828, 468,963.20 and 188,925

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Solution

The fourth proportional to 339,828, 468,963.20 and 188,925 is: 260,716.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,828 : 468,963.20 = 188,925 : x
  2. Step 2: Convert to fraction form
    339,828/468,963.20 = 188,925/x
  3. Step 3: Cross multiply
    339,828x = 468,963.20 × 188,925
  4. Step 4: Simplify right side
    339,828x = 88,598,872,560
  5. Step 5: Solve for x
    x = 88,598,872,560/339,828
  6. Step 6: Final answer
    x = 260,716.81

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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.