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Finding the Fourth Proportional to 397,712.94, 548,855.39 and 216,436.56

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Solution

The fourth proportional to 397,712.94, 548,855.39 and 216,436.56 is: 298,688.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,712.94 : 548,855.39 = 216,436.56 : x
  2. Step 2: Convert to fraction form
    397,712.94/548,855.39 = 216,436.56/x
  3. Step 3: Cross multiply
    397,712.94x = 548,855.39 × 216,436.56
  4. Step 4: Simplify right side
    397,712.94x = 118,792,371,466.88
  5. Step 5: Solve for x
    x = 118,792,371,466.88/397,712.94
  6. Step 6: Final answer
    x = 298,688.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.