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Finding the Fourth Proportional to 394,532, 544,456.08 and 215,684

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Solution

The fourth proportional to 394,532, 544,456.08 and 215,684 is: 297,644.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,532 : 544,456.08 = 215,684 : x
  2. Step 2: Convert to fraction form
    394,532/544,456.08 = 215,684/x
  3. Step 3: Cross multiply
    394,532x = 544,456.08 × 215,684
  4. Step 4: Simplify right side
    394,532x = 117,430,465,158.72
  5. Step 5: Solve for x
    x = 117,430,465,158.72/394,532
  6. Step 6: Final answer
    x = 297,644.97

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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.