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Finding the Fourth Proportional to 300,464.11, 414,645.37 and 164,495.78

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Solution

The fourth proportional to 300,464.11, 414,645.37 and 164,495.78 is: 227,006.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,464.11 : 414,645.37 = 164,495.78 : x
  2. Step 2: Convert to fraction form
    300,464.11/414,645.37 = 164,495.78/x
  3. Step 3: Cross multiply
    300,464.11x = 414,645.37 × 164,495.78
  4. Step 4: Simplify right side
    300,464.11x = 68,207,411,488.31
  5. Step 5: Solve for x
    x = 68,207,411,488.31/300,464.11
  6. Step 6: Final answer
    x = 227,006.85

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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.