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Finding the Fourth Proportional to 421,960.52, 582,305.70 and 230,975

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Solution

The fourth proportional to 421,960.52, 582,305.70 and 230,975 is: 318,745.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,960.52 : 582,305.70 = 230,975 : x
  2. Step 2: Convert to fraction form
    421,960.52/582,305.70 = 230,975/x
  3. Step 3: Cross multiply
    421,960.52x = 582,305.70 × 230,975
  4. Step 4: Simplify right side
    421,960.52x = 134,498,059,057.50
  5. Step 5: Solve for x
    x = 134,498,059,057.50/421,960.52
  6. Step 6: Final answer
    x = 318,745.60

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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.