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Finding the Fourth Proportional to 307,661.41, 461,540.91 and 130,169.75

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Solution

The fourth proportional to 307,661.41, 461,540.91 and 130,169.75 is: 195,275.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,661.41 : 461,540.91 = 130,169.75 : x
  2. Step 2: Convert to fraction form
    307,661.41/461,540.91 = 130,169.75/x
  3. Step 3: Cross multiply
    307,661.41x = 461,540.91 × 130,169.75
  4. Step 4: Simplify right side
    307,661.41x = 60,078,664,869.47
  5. Step 5: Solve for x
    x = 60,078,664,869.47/307,661.41
  6. Step 6: Final answer
    x = 195,275.27

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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.