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Finding the Fourth Proportional to 384,120.60, 530,033.46 and 214,321.80

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Solution

The fourth proportional to 384,120.60, 530,033.46 and 214,321.80 is: 295,734.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,120.60 : 530,033.46 = 214,321.80 : x
  2. Step 2: Convert to fraction form
    384,120.60/530,033.46 = 214,321.80/x
  3. Step 3: Cross multiply
    384,120.60x = 530,033.46 × 214,321.80
  4. Step 4: Simplify right side
    384,120.60x = 113,597,725,207.43
  5. Step 5: Solve for x
    x = 113,597,725,207.43/384,120.60
  6. Step 6: Final answer
    x = 295,734.53

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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.