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Finding the Fourth Proportional to 361,879.94, 542,823.42 and 137,180

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Solution

The fourth proportional to 361,879.94, 542,823.42 and 137,180 is: 205,771.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,879.94 : 542,823.42 = 137,180 : x
  2. Step 2: Convert to fraction form
    361,879.94/542,823.42 = 137,180/x
  3. Step 3: Cross multiply
    361,879.94x = 542,823.42 × 137,180
  4. Step 4: Simplify right side
    361,879.94x = 74,464,516,755.60
  5. Step 5: Solve for x
    x = 74,464,516,755.60/361,879.94
  6. Step 6: Final answer
    x = 205,771.33

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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.