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Finding the Fourth Proportional to 398,781, 598,171.34 and 118,295.80

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Solution

The fourth proportional to 398,781, 598,171.34 and 118,295.80 is: 177,443.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,781 : 598,171.34 = 118,295.80 : x
  2. Step 2: Convert to fraction form
    398,781/598,171.34 = 118,295.80/x
  3. Step 3: Cross multiply
    398,781x = 598,171.34 × 118,295.80
  4. Step 4: Simplify right side
    398,781x = 70,761,157,202.37
  5. Step 5: Solve for x
    x = 70,761,157,202.37/398,781
  6. Step 6: Final answer
    x = 177,443.65

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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.