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Finding the Fourth Proportional to 323,109, 445,900.68 and 202,211.64

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Solution

The fourth proportional to 323,109, 445,900.68 and 202,211.64 is: 279,058.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,109 : 445,900.68 = 202,211.64 : x
  2. Step 2: Convert to fraction form
    323,109/445,900.68 = 202,211.64/x
  3. Step 3: Cross multiply
    323,109x = 445,900.68 × 202,211.64
  4. Step 4: Simplify right side
    323,109x = 90,166,307,779.92
  5. Step 5: Solve for x
    x = 90,166,307,779.92/323,109
  6. Step 6: Final answer
    x = 279,058.48

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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.