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Finding the Fourth Proportional to 393,568.10, 543,119.46 and 221,485.40

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Solution

The fourth proportional to 393,568.10, 543,119.46 and 221,485.40 is: 305,647.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,568.10 : 543,119.46 = 221,485.40 : x
  2. Step 2: Convert to fraction form
    393,568.10/543,119.46 = 221,485.40/x
  3. Step 3: Cross multiply
    393,568.10x = 543,119.46 × 221,485.40
  4. Step 4: Simplify right side
    393,568.10x = 120,293,030,845.88
  5. Step 5: Solve for x
    x = 120,293,030,845.88/393,568.10
  6. Step 6: Final answer
    x = 305,647.31

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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.