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Finding the Fourth Proportional to 515,954.21, 774,024.27 and 212,294.73

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Solution

The fourth proportional to 515,954.21, 774,024.27 and 212,294.73 is: 318,480.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,954.21 : 774,024.27 = 212,294.73 : x
  2. Step 2: Convert to fraction form
    515,954.21/774,024.27 = 212,294.73/x
  3. Step 3: Cross multiply
    515,954.21x = 774,024.27 × 212,294.73
  4. Step 4: Simplify right side
    515,954.21x = 164,321,273,413.10
  5. Step 5: Solve for x
    x = 164,321,273,413.10/515,954.21
  6. Step 6: Final answer
    x = 318,480.35

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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.