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Finding the Fourth Proportional to 254,563.20, 381,844.80 and 214,012.80

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Solution

The fourth proportional to 254,563.20, 381,844.80 and 214,012.80 is: 321,019.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,563.20 : 381,844.80 = 214,012.80 : x
  2. Step 2: Convert to fraction form
    254,563.20/381,844.80 = 214,012.80/x
  3. Step 3: Cross multiply
    254,563.20x = 381,844.80 × 214,012.80
  4. Step 4: Simplify right side
    254,563.20x = 81,719,674,813.44
  5. Step 5: Solve for x
    x = 81,719,674,813.44/254,563.20
  6. Step 6: Final answer
    x = 321,019.20

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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.