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Finding the Fourth Proportional to 354,336.05, 488,985.96 and 193,193.78

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Solution

The fourth proportional to 354,336.05, 488,985.96 and 193,193.78 is: 266,608.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,336.05 : 488,985.96 = 193,193.78 : x
  2. Step 2: Convert to fraction form
    354,336.05/488,985.96 = 193,193.78/x
  3. Step 3: Cross multiply
    354,336.05x = 488,985.96 × 193,193.78
  4. Step 4: Simplify right side
    354,336.05x = 94,469,045,979.33
  5. Step 5: Solve for x
    x = 94,469,045,979.33/354,336.05
  6. Step 6: Final answer
    x = 266,608.62

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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.