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Finding the Fourth Proportional to 342,172.31, 472,256.37 and 199,015.38

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Solution

The fourth proportional to 342,172.31, 472,256.37 and 199,015.38 is: 274,675.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,172.31 : 472,256.37 = 199,015.38 : x
  2. Step 2: Convert to fraction form
    342,172.31/472,256.37 = 199,015.38/x
  3. Step 3: Cross multiply
    342,172.31x = 472,256.37 × 199,015.38
  4. Step 4: Simplify right side
    342,172.31x = 93,986,280,932.97
  5. Step 5: Solve for x
    x = 93,986,280,932.97/342,172.31
  6. Step 6: Final answer
    x = 274,675.30

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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.