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Finding the Fourth Proportional to 301,080.31, 415,491.41 and 165,115.21

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Solution

The fourth proportional to 301,080.31, 415,491.41 and 165,115.21 is: 227,859.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,080.31 : 415,491.41 = 165,115.21 : x
  2. Step 2: Convert to fraction form
    301,080.31/415,491.41 = 165,115.21/x
  3. Step 3: Cross multiply
    301,080.31x = 415,491.41 × 165,115.21
  4. Step 4: Simplify right side
    301,080.31x = 68,603,950,639.68
  5. Step 5: Solve for x
    x = 68,603,950,639.68/301,080.31
  6. Step 6: Final answer
    x = 227,859.31

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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.