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Finding the Fourth Proportional to 397,805, 548,970.92 and 218,957

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Solution

The fourth proportional to 397,805, 548,970.92 and 218,957 is: 302,160.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,805 : 548,970.92 = 218,957 : x
  2. Step 2: Convert to fraction form
    397,805/548,970.92 = 218,957/x
  3. Step 3: Cross multiply
    397,805x = 548,970.92 × 218,957
  4. Step 4: Simplify right side
    397,805x = 120,201,025,730.44
  5. Step 5: Solve for x
    x = 120,201,025,730.44/397,805
  6. Step 6: Final answer
    x = 302,160.67

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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.