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Finding the Fourth Proportional to 354,318, 488,958.84 and 195,342

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Solution

The fourth proportional to 354,318, 488,958.84 and 195,342 is: 269,571.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,318 : 488,958.84 = 195,342 : x
  2. Step 2: Convert to fraction form
    354,318/488,958.84 = 195,342/x
  3. Step 3: Cross multiply
    354,318x = 488,958.84 × 195,342
  4. Step 4: Simplify right side
    354,318x = 95,514,197,723.28
  5. Step 5: Solve for x
    x = 95,514,197,723.28/354,318
  6. Step 6: Final answer
    x = 269,571.96

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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.