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Finding the Fourth Proportional to 422,013.78, 582,378.04 and 231,025.50

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Solution

The fourth proportional to 422,013.78, 582,378.04 and 231,025.50 is: 318,814.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,013.78 : 582,378.04 = 231,025.50 : x
  2. Step 2: Convert to fraction form
    422,013.78/582,378.04 = 231,025.50/x
  3. Step 3: Cross multiply
    422,013.78x = 582,378.04 × 231,025.50
  4. Step 4: Simplify right side
    422,013.78x = 134,544,177,880.02
  5. Step 5: Solve for x
    x = 134,544,177,880.02/422,013.78
  6. Step 6: Final answer
    x = 318,814.66

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1.5x scale

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.