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Finding the Fourth Proportional to 394,468, 544,365.84 and 215,620

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Solution

The fourth proportional to 394,468, 544,365.84 and 215,620 is: 297,555.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,468 : 544,365.84 = 215,620 : x
  2. Step 2: Convert to fraction form
    394,468/544,365.84 = 215,620/x
  3. Step 3: Cross multiply
    394,468x = 544,365.84 × 215,620
  4. Step 4: Simplify right side
    394,468x = 117,376,162,420.80
  5. Step 5: Solve for x
    x = 117,376,162,420.80/394,468
  6. Step 6: Final answer
    x = 297,555.60

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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.