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Finding the Fourth Proportional to 422,106.18, 582,502.09 and 228,509.54

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Solution

The fourth proportional to 422,106.18, 582,502.09 and 228,509.54 is: 315,340.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,106.18 : 582,502.09 = 228,509.54 : x
  2. Step 2: Convert to fraction form
    422,106.18/582,502.09 = 228,509.54/x
  3. Step 3: Cross multiply
    422,106.18x = 582,502.09 × 228,509.54
  4. Step 4: Simplify right side
    422,106.18x = 133,107,284,634.94
  5. Step 5: Solve for x
    x = 133,107,284,634.94/422,106.18
  6. Step 6: Final answer
    x = 315,340.76

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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.