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Finding the Fourth Proportional to 532,809.09, 798,524.73 and 398,636.64

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Solution

The fourth proportional to 532,809.09, 798,524.73 and 398,636.64 is: 597,439.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,809.09 : 798,524.73 = 398,636.64 : x
  2. Step 2: Convert to fraction form
    532,809.09/798,524.73 = 398,636.64/x
  3. Step 3: Cross multiply
    532,809.09x = 798,524.73 × 398,636.64
  4. Step 4: Simplify right side
    532,809.09x = 318,321,215,324.11
  5. Step 5: Solve for x
    x = 318,321,215,324.11/532,809.09
  6. Step 6: Final answer
    x = 597,439.54

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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.