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Finding the Fourth Proportional to 394,821.59, 544,853.80 and 213,533.53

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Solution

The fourth proportional to 394,821.59, 544,853.80 and 213,533.53 is: 294,676.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,821.59 : 544,853.80 = 213,533.53 : x
  2. Step 2: Convert to fraction form
    394,821.59/544,853.80 = 213,533.53/x
  3. Step 3: Cross multiply
    394,821.59x = 544,853.80 × 213,533.53
  4. Step 4: Simplify right side
    394,821.59x = 116,344,552,523.65
  5. Step 5: Solve for x
    x = 116,344,552,523.65/394,821.59
  6. Step 6: Final answer
    x = 294,676.27

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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.