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Finding the Fourth Proportional to 821,173.56, 1,231,794.90 and 400,803

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Solution

The fourth proportional to 821,173.56, 1,231,794.90 and 400,803 is: 601,221.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,173.56 : 1,231,794.90 = 400,803 : x
  2. Step 2: Convert to fraction form
    821,173.56/1,231,794.90 = 400,803/x
  3. Step 3: Cross multiply
    821,173.56x = 1,231,794.90 × 400,803
  4. Step 4: Simplify right side
    821,173.56x = 493,707,091,304.70
  5. Step 5: Solve for x
    x = 493,707,091,304.70/821,173.56
  6. Step 6: Final answer
    x = 601,221.37

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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.