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Finding the Fourth Proportional to 543,673.70, 814,708.65 and 394,228.70

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Solution

The fourth proportional to 543,673.70, 814,708.65 and 394,228.70 is: 590,761.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,673.70 : 814,708.65 = 394,228.70 : x
  2. Step 2: Convert to fraction form
    543,673.70/814,708.65 = 394,228.70/x
  3. Step 3: Cross multiply
    543,673.70x = 814,708.65 × 394,228.70
  4. Step 4: Simplify right side
    543,673.70x = 321,181,531,968.26
  5. Step 5: Solve for x
    x = 321,181,531,968.26/543,673.70
  6. Step 6: Final answer
    x = 590,761.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.