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Finding the Fourth Proportional to 300,379.82, 449,689.46 and 157,889.48

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Solution

The fourth proportional to 300,379.82, 449,689.46 and 157,889.48 is: 236,371.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,379.82 : 449,689.46 = 157,889.48 : x
  2. Step 2: Convert to fraction form
    300,379.82/449,689.46 = 157,889.48/x
  3. Step 3: Cross multiply
    300,379.82x = 449,689.46 × 157,889.48
  4. Step 4: Simplify right side
    300,379.82x = 71,001,231,962.99
  5. Step 5: Solve for x
    x = 71,001,231,962.99/300,379.82
  6. Step 6: Final answer
    x = 236,371.52

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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.