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Finding the Fourth Proportional to 397,804.60, 548,981.97 and 216,528.22

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Solution

The fourth proportional to 397,804.60, 548,981.97 and 216,528.22 is: 298,815.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,804.60 : 548,981.97 = 216,528.22 : x
  2. Step 2: Convert to fraction form
    397,804.60/548,981.97 = 216,528.22/x
  3. Step 3: Cross multiply
    397,804.60x = 548,981.97 × 216,528.22
  4. Step 4: Simplify right side
    397,804.60x = 118,870,086,031.28
  5. Step 5: Solve for x
    x = 118,870,086,031.28/397,804.60
  6. Step 6: Final answer
    x = 298,815.27

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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.