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Finding the Fourth Proportional to 555,215.82, 766,198.08 and 300,567

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Solution

The fourth proportional to 555,215.82, 766,198.08 and 300,567 is: 414,782.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,215.82 : 766,198.08 = 300,567 : x
  2. Step 2: Convert to fraction form
    555,215.82/766,198.08 = 300,567/x
  3. Step 3: Cross multiply
    555,215.82x = 766,198.08 × 300,567
  4. Step 4: Simplify right side
    555,215.82x = 230,293,858,311.36
  5. Step 5: Solve for x
    x = 230,293,858,311.36/555,215.82
  6. Step 6: Final answer
    x = 414,782.59

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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.