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Finding the Fourth Proportional to 324,120, 485,348.32 and 224,142.24

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Solution

The fourth proportional to 324,120, 485,348.32 and 224,142.24 is: 335,638.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,120 : 485,348.32 = 224,142.24 : x
  2. Step 2: Convert to fraction form
    324,120/485,348.32 = 224,142.24/x
  3. Step 3: Cross multiply
    324,120x = 485,348.32 × 224,142.24
  4. Step 4: Simplify right side
    324,120x = 108,787,059,625.04
  5. Step 5: Solve for x
    x = 108,787,059,625.04/324,120
  6. Step 6: Final answer
    x = 335,638.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.