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Finding the Fourth Proportional to 393,512.40, 543,035.16 and 221,439.96

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Solution

The fourth proportional to 393,512.40, 543,035.16 and 221,439.96 is: 305,580.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,512.40 : 543,035.16 = 221,439.96 : x
  2. Step 2: Convert to fraction form
    393,512.40/543,035.16 = 221,439.96/x
  3. Step 3: Cross multiply
    393,512.40x = 543,035.16 × 221,439.96
  4. Step 4: Simplify right side
    393,512.40x = 120,249,684,108.99
  5. Step 5: Solve for x
    x = 120,249,684,108.99/393,512.40
  6. Step 6: Final answer
    x = 305,580.42

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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.