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Finding the Fourth Proportional to 307,431.49, 461,212.89 and 107,764.06

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Solution

The fourth proportional to 307,431.49, 461,212.89 and 107,764.06 is: 161,669.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,431.49 : 461,212.89 = 107,764.06 : x
  2. Step 2: Convert to fraction form
    307,431.49/461,212.89 = 107,764.06/x
  3. Step 3: Cross multiply
    307,431.49x = 461,212.89 × 107,764.06
  4. Step 4: Simplify right side
    307,431.49x = 49,702,173,550.73
  5. Step 5: Solve for x
    x = 49,702,173,550.73/307,431.49
  6. Step 6: Final answer
    x = 161,669.10

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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.