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Finding the Fourth Proportional to 342,738.62, 472,963.74 and 189,765.98

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Solution

The fourth proportional to 342,738.62, 472,963.74 and 189,765.98 is: 261,868.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,738.62 : 472,963.74 = 189,765.98 : x
  2. Step 2: Convert to fraction form
    342,738.62/472,963.74 = 189,765.98/x
  3. Step 3: Cross multiply
    342,738.62x = 472,963.74 × 189,765.98
  4. Step 4: Simplify right side
    342,738.62x = 89,752,427,625.57
  5. Step 5: Solve for x
    x = 89,752,427,625.57/342,738.62
  6. Step 6: Final answer
    x = 261,868.44

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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.