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Finding the Fourth Proportional to 555,218.82, 766,202.22 and 300,570

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Solution

The fourth proportional to 555,218.82, 766,202.22 and 300,570 is: 414,786.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,218.82 : 766,202.22 = 300,570 : x
  2. Step 2: Convert to fraction form
    555,218.82/766,202.22 = 300,570/x
  3. Step 3: Cross multiply
    555,218.82x = 766,202.22 × 300,570
  4. Step 4: Simplify right side
    555,218.82x = 230,297,401,265.40
  5. Step 5: Solve for x
    x = 230,297,401,265.40/555,218.82
  6. Step 6: Final answer
    x = 414,786.73

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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.