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Finding the Fourth Proportional to 397,380.63, 548,391.97 and 216,097.90

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Solution

The fourth proportional to 397,380.63, 548,391.97 and 216,097.90 is: 298,218.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,380.63 : 548,391.97 = 216,097.90 : x
  2. Step 2: Convert to fraction form
    397,380.63/548,391.97 = 216,097.90/x
  3. Step 3: Cross multiply
    397,380.63x = 548,391.97 × 216,097.90
  4. Step 4: Simplify right side
    397,380.63x = 118,506,353,535.36
  5. Step 5: Solve for x
    x = 118,506,353,535.36/397,380.63
  6. Step 6: Final answer
    x = 298,218.74

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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.