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Finding the Fourth Proportional to 394,274, 544,098.12 and 215,426

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Solution

The fourth proportional to 394,274, 544,098.12 and 215,426 is: 297,287.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,274 : 544,098.12 = 215,426 : x
  2. Step 2: Convert to fraction form
    394,274/544,098.12 = 215,426/x
  3. Step 3: Cross multiply
    394,274x = 544,098.12 × 215,426
  4. Step 4: Simplify right side
    394,274x = 117,212,881,599.12
  5. Step 5: Solve for x
    x = 117,212,881,599.12/394,274
  6. Step 6: Final answer
    x = 297,287.88

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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.