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Finding the Fourth Proportional to 422,047.50, 582,331.57 and 249,879.57

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Solution

The fourth proportional to 422,047.50, 582,331.57 and 249,879.57 is: 344,778.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,047.50 : 582,331.57 = 249,879.57 : x
  2. Step 2: Convert to fraction form
    422,047.50/582,331.57 = 249,879.57/x
  3. Step 3: Cross multiply
    422,047.50x = 582,331.57 × 249,879.57
  4. Step 4: Simplify right side
    422,047.50x = 145,512,762,309.03
  5. Step 5: Solve for x
    x = 145,512,762,309.03/422,047.50
  6. Step 6: Final answer
    x = 344,778.16

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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.