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Finding the Fourth Proportional to 422,739.94, 582,718.44 and 320,355.55

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Solution

The fourth proportional to 422,739.94, 582,718.44 and 320,355.55 is: 441,588.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,739.94 : 582,718.44 = 320,355.55 : x
  2. Step 2: Convert to fraction form
    422,739.94/582,718.44 = 320,355.55/x
  3. Step 3: Cross multiply
    422,739.94x = 582,718.44 × 320,355.55
  4. Step 4: Simplify right side
    422,739.94x = 186,677,086,341.34
  5. Step 5: Solve for x
    x = 186,677,086,341.34/422,739.94
  6. Step 6: Final answer
    x = 441,588.48

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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.