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Finding the Fourth Proportional to 418,388.62, 577,380.81 and 227,402.05

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Solution

The fourth proportional to 418,388.62, 577,380.81 and 227,402.05 is: 313,817.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,388.62 : 577,380.81 = 227,402.05 : x
  2. Step 2: Convert to fraction form
    418,388.62/577,380.81 = 227,402.05/x
  3. Step 3: Cross multiply
    418,388.62x = 577,380.81 × 227,402.05
  4. Step 4: Simplify right side
    418,388.62x = 131,297,579,824.66
  5. Step 5: Solve for x
    x = 131,297,579,824.66/418,388.62
  6. Step 6: Final answer
    x = 313,817.28

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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.