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Finding the Fourth Proportional to 326,874.94, 450,905.40 and 303,756

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Solution

The fourth proportional to 326,874.94, 450,905.40 and 303,756 is: 419,014.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,874.94 : 450,905.40 = 303,756 : x
  2. Step 2: Convert to fraction form
    326,874.94/450,905.40 = 303,756/x
  3. Step 3: Cross multiply
    326,874.94x = 450,905.40 × 303,756
  4. Step 4: Simplify right side
    326,874.94x = 136,965,220,682.40
  5. Step 5: Solve for x
    x = 136,965,220,682.40/326,874.94
  6. Step 6: Final answer
    x = 419,014.14

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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.