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Finding the Fourth Proportional to 305,613,383.20, 457,412,305.20 and 214,914,119.20

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Solution

The fourth proportional to 305,613,383.20, 457,412,305.20 and 214,914,119.20 is: 321,662,492.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,613,383.20 : 457,412,305.20 = 214,914,119.20 : x
  2. Step 2: Convert to fraction form
    305,613,383.20/457,412,305.20 = 214,914,119.20/x
  3. Step 3: Cross multiply
    305,613,383.20x = 457,412,305.20 × 214,914,119.20
  4. Step 4: Simplify right side
    305,613,383.20x = 98,304,362,683,299,568
  5. Step 5: Solve for x
    x = 98,304,362,683,299,568/305,613,383.20
  6. Step 6: Final answer
    x = 321,662,492.83

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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.