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Finding the Fourth Proportional to 217,836,380.40, 305,736,207.60 and 217,836,380.40

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Solution

The fourth proportional to 217,836,380.40, 305,736,207.60 and 217,836,380.40 is: 305,736,207.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,836,380.40 : 305,736,207.60 = 217,836,380.40 : x
  2. Step 2: Convert to fraction form
    217,836,380.40/305,736,207.60 = 217,836,380.40/x
  3. Step 3: Cross multiply
    217,836,380.40x = 305,736,207.60 × 217,836,380.40
  4. Step 4: Simplify right side
    217,836,380.40x = 66,600,468,820,806,976
  5. Step 5: Solve for x
    x = 66,600,468,820,806,976/217,836,380.40
  6. Step 6: Final answer
    x = 305,736,207.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.