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Finding the Fourth Proportional to 448,322, 618,684.36 and 269,474

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Solution

The fourth proportional to 448,322, 618,684.36 and 269,474 is: 371,874.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,322 : 618,684.36 = 269,474 : x
  2. Step 2: Convert to fraction form
    448,322/618,684.36 = 269,474/x
  3. Step 3: Cross multiply
    448,322x = 618,684.36 × 269,474
  4. Step 4: Simplify right side
    448,322x = 166,719,349,226.64
  5. Step 5: Solve for x
    x = 166,719,349,226.64/448,322
  6. Step 6: Final answer
    x = 371,874.12

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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.