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Finding the Fourth Proportional to 398,198.16, 597,383.60 and 117,738

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Solution

The fourth proportional to 398,198.16, 597,383.60 and 117,738 is: 176,632.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,198.16 : 597,383.60 = 117,738 : x
  2. Step 2: Convert to fraction form
    398,198.16/597,383.60 = 117,738/x
  3. Step 3: Cross multiply
    398,198.16x = 597,383.60 × 117,738
  4. Step 4: Simplify right side
    398,198.16x = 70,334,750,296.80
  5. Step 5: Solve for x
    x = 70,334,750,296.80/398,198.16
  6. Step 6: Final answer
    x = 176,632.53

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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.