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Finding the Fourth Proportional to 543,668.70, 814,701.15 and 394,223.70

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Solution

The fourth proportional to 543,668.70, 814,701.15 and 394,223.70 is: 590,754.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,668.70 : 814,701.15 = 394,223.70 : x
  2. Step 2: Convert to fraction form
    543,668.70/814,701.15 = 394,223.70/x
  3. Step 3: Cross multiply
    543,668.70x = 814,701.15 × 394,223.70
  4. Step 4: Simplify right side
    543,668.70x = 321,174,501,747.26
  5. Step 5: Solve for x
    x = 321,174,501,747.26/543,668.70
  6. Step 6: Final answer
    x = 590,754.08

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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.