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Finding the Fourth Proportional to 515,843.40, 774,348.30 and 305,599.80

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Solution

The fourth proportional to 515,843.40, 774,348.30 and 305,599.80 is: 458,745.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,843.40 : 774,348.30 = 305,599.80 : x
  2. Step 2: Convert to fraction form
    515,843.40/774,348.30 = 305,599.80/x
  3. Step 3: Cross multiply
    515,843.40x = 774,348.30 × 305,599.80
  4. Step 4: Simplify right side
    515,843.40x = 236,640,685,610.34
  5. Step 5: Solve for x
    x = 236,640,685,610.34/515,843.40
  6. Step 6: Final answer
    x = 458,745.20

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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.