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Finding the Fourth Proportional to 398,454.75, 597,769.74 and 117,993.87

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Solution

The fourth proportional to 398,454.75, 597,769.74 and 117,993.87 is: 177,016.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,454.75 : 597,769.74 = 117,993.87 : x
  2. Step 2: Convert to fraction form
    398,454.75/597,769.74 = 117,993.87/x
  3. Step 3: Cross multiply
    398,454.75x = 597,769.74 × 117,993.87
  4. Step 4: Simplify right side
    398,454.75x = 70,533,164,991.49
  5. Step 5: Solve for x
    x = 70,533,164,991.49/398,454.75
  6. Step 6: Final answer
    x = 177,016.75

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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.