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Finding the Fourth Proportional to 397,424.52, 548,447.94 and 216,137.88

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Solution

The fourth proportional to 397,424.52, 548,447.94 and 216,137.88 is: 298,271.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,424.52 : 548,447.94 = 216,137.88 : x
  2. Step 2: Convert to fraction form
    397,424.52/548,447.94 = 216,137.88/x
  3. Step 3: Cross multiply
    397,424.52x = 548,447.94 × 216,137.88
  4. Step 4: Simplify right side
    397,424.52x = 118,540,375,041.97
  5. Step 5: Solve for x
    x = 118,540,375,041.97/397,424.52
  6. Step 6: Final answer
    x = 298,271.42

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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.