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Finding the Fourth Proportional to 394,129, 543,898.08 and 215,281

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Solution

The fourth proportional to 394,129, 543,898.08 and 215,281 is: 297,087.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,129 : 543,898.08 = 215,281 : x
  2. Step 2: Convert to fraction form
    394,129/543,898.08 = 215,281/x
  3. Step 3: Cross multiply
    394,129x = 543,898.08 × 215,281
  4. Step 4: Simplify right side
    394,129x = 117,090,922,560.48
  5. Step 5: Solve for x
    x = 117,090,922,560.48/394,129
  6. Step 6: Final answer
    x = 297,087.81

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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.