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Finding the Fourth Proportional to 550,858.20, 826,287.30 and 382,021.80

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Solution

The fourth proportional to 550,858.20, 826,287.30 and 382,021.80 is: 573,032.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,858.20 : 826,287.30 = 382,021.80 : x
  2. Step 2: Convert to fraction form
    550,858.20/826,287.30 = 382,021.80/x
  3. Step 3: Cross multiply
    550,858.20x = 826,287.30 × 382,021.80
  4. Step 4: Simplify right side
    550,858.20x = 315,659,761,663.14
  5. Step 5: Solve for x
    x = 315,659,761,663.14/550,858.20
  6. Step 6: Final answer
    x = 573,032.70

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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.