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Finding the Fourth Proportional to 800,384.08, 1,200,274.80 and 326,816

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Solution

The fourth proportional to 800,384.08, 1,200,274.80 and 326,816 is: 490,100.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,384.08 : 1,200,274.80 = 326,816 : x
  2. Step 2: Convert to fraction form
    800,384.08/1,200,274.80 = 326,816/x
  3. Step 3: Cross multiply
    800,384.08x = 1,200,274.80 × 326,816
  4. Step 4: Simplify right side
    800,384.08x = 392,269,009,036.80
  5. Step 5: Solve for x
    x = 392,269,009,036.80/800,384.08
  6. Step 6: Final answer
    x = 490,100.96

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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.