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Finding the Fourth Proportional to 445,711.27, 668,324.97 and 202,418.74

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Solution

The fourth proportional to 445,711.27, 668,324.97 and 202,418.74 is: 303,518.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,711.27 : 668,324.97 = 202,418.74 : x
  2. Step 2: Convert to fraction form
    445,711.27/668,324.97 = 202,418.74/x
  3. Step 3: Cross multiply
    445,711.27x = 668,324.97 × 202,418.74
  4. Step 4: Simplify right side
    445,711.27x = 135,281,498,337.94
  5. Step 5: Solve for x
    x = 135,281,498,337.94/445,711.27
  6. Step 6: Final answer
    x = 303,518.24

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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.