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Finding the Fourth Proportional to 342,697.98, 472,907.76 and 189,725.43

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Solution

The fourth proportional to 342,697.98, 472,907.76 and 189,725.43 is: 261,812.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,697.98 : 472,907.76 = 189,725.43 : x
  2. Step 2: Convert to fraction form
    342,697.98/472,907.76 = 189,725.43/x
  3. Step 3: Cross multiply
    342,697.98x = 472,907.76 × 189,725.43
  4. Step 4: Simplify right side
    342,697.98x = 89,722,628,116.34
  5. Step 5: Solve for x
    x = 89,722,628,116.34/342,697.98
  6. Step 6: Final answer
    x = 261,812.54

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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.