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Finding the Fourth Proportional to 381,684.80, 572,037.60 and 213,204.80

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Solution

The fourth proportional to 381,684.80, 572,037.60 and 213,204.80 is: 319,533.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,684.80 : 572,037.60 = 213,204.80 : x
  2. Step 2: Convert to fraction form
    381,684.80/572,037.60 = 213,204.80/x
  3. Step 3: Cross multiply
    381,684.80x = 572,037.60 × 213,204.80
  4. Step 4: Simplify right side
    381,684.80x = 121,961,162,100.48
  5. Step 5: Solve for x
    x = 121,961,162,100.48/381,684.80
  6. Step 6: Final answer
    x = 319,533.71

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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.