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Finding the Fourth Proportional to 422,318.40, 582,798.42 and 228,725.52

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Solution

The fourth proportional to 422,318.40, 582,798.42 and 228,725.52 is: 315,640.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,318.40 : 582,798.42 = 228,725.52 : x
  2. Step 2: Convert to fraction form
    422,318.40/582,798.42 = 228,725.52/x
  3. Step 3: Cross multiply
    422,318.40x = 582,798.42 × 228,725.52
  4. Step 4: Simplify right side
    422,318.40x = 133,300,871,669.68
  5. Step 5: Solve for x
    x = 133,300,871,669.68/422,318.40
  6. Step 6: Final answer
    x = 315,640.69

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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.