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Finding the Fourth Proportional to 397,367.02, 548,373 and 216,082.54

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Solution

The fourth proportional to 397,367.02, 548,373 and 216,082.54 is: 298,197.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,367.02 : 548,373 = 216,082.54 : x
  2. Step 2: Convert to fraction form
    397,367.02/548,373 = 216,082.54/x
  3. Step 3: Cross multiply
    397,367.02x = 548,373 × 216,082.54
  4. Step 4: Simplify right side
    397,367.02x = 118,493,830,707.42
  5. Step 5: Solve for x
    x = 118,493,830,707.42/397,367.02
  6. Step 6: Final answer
    x = 298,197.45

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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.