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Finding the Fourth Proportional to 398,205.27, 597,290.52 and 128,327.41

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Solution

The fourth proportional to 398,205.27, 597,290.52 and 128,327.41 is: 192,485.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,205.27 : 597,290.52 = 128,327.41 : x
  2. Step 2: Convert to fraction form
    398,205.27/597,290.52 = 128,327.41/x
  3. Step 3: Cross multiply
    398,205.27x = 597,290.52 × 128,327.41
  4. Step 4: Simplify right side
    398,205.27x = 76,648,746,676.99
  5. Step 5: Solve for x
    x = 76,648,746,676.99/398,205.27
  6. Step 6: Final answer
    x = 192,485.52

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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.