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Finding the Fourth Proportional to 342,675.72, 472,893.12 and 189,724.50

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Solution

The fourth proportional to 342,675.72, 472,893.12 and 189,724.50 is: 261,820.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,675.72 : 472,893.12 = 189,724.50 : x
  2. Step 2: Convert to fraction form
    342,675.72/472,893.12 = 189,724.50/x
  3. Step 3: Cross multiply
    342,675.72x = 472,893.12 × 189,724.50
  4. Step 4: Simplify right side
    342,675.72x = 89,719,410,745.44
  5. Step 5: Solve for x
    x = 89,719,410,745.44/342,675.72
  6. Step 6: Final answer
    x = 261,820.16

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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.