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Finding the Fourth Proportional to 327,264.40, 490,205.40 and 271,968.40

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Solution

The fourth proportional to 327,264.40, 490,205.40 and 271,968.40 is: 407,378.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,264.40 : 490,205.40 = 271,968.40 : x
  2. Step 2: Convert to fraction form
    327,264.40/490,205.40 = 271,968.40/x
  3. Step 3: Cross multiply
    327,264.40x = 490,205.40 × 271,968.40
  4. Step 4: Simplify right side
    327,264.40x = 133,320,378,309.36
  5. Step 5: Solve for x
    x = 133,320,378,309.36/327,264.40
  6. Step 6: Final answer
    x = 407,378.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.