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Finding the Fourth Proportional to 394,264, 544,084.80 and 215,416

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Solution

The fourth proportional to 394,264, 544,084.80 and 215,416 is: 297,274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,264 : 544,084.80 = 215,416 : x
  2. Step 2: Convert to fraction form
    394,264/544,084.80 = 215,416/x
  3. Step 3: Cross multiply
    394,264x = 544,084.80 × 215,416
  4. Step 4: Simplify right side
    394,264x = 117,204,571,276.80
  5. Step 5: Solve for x
    x = 117,204,571,276.80/394,264
  6. Step 6: Final answer
    x = 297,274.34

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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.