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Finding the Fourth Proportional to 394,407, 544,281.66 and 215,559

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Solution

The fourth proportional to 394,407, 544,281.66 and 215,559 is: 297,471.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,407 : 544,281.66 = 215,559 : x
  2. Step 2: Convert to fraction form
    394,407/544,281.66 = 215,559/x
  3. Step 3: Cross multiply
    394,407x = 544,281.66 × 215,559
  4. Step 4: Simplify right side
    394,407x = 117,324,810,347.94
  5. Step 5: Solve for x
    x = 117,324,810,347.94/394,407
  6. Step 6: Final answer
    x = 297,471.42

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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.