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Finding the Fourth Proportional to 205,987.25, 308,617.48 and 180,401.27

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Solution

The fourth proportional to 205,987.25, 308,617.48 and 180,401.27 is: 270,283.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,987.25 : 308,617.48 = 180,401.27 : x
  2. Step 2: Convert to fraction form
    205,987.25/308,617.48 = 180,401.27/x
  3. Step 3: Cross multiply
    205,987.25x = 308,617.48 × 180,401.27
  4. Step 4: Simplify right side
    205,987.25x = 55,674,982,891.11
  5. Step 5: Solve for x
    x = 55,674,982,891.11/205,987.25
  6. Step 6: Final answer
    x = 270,283.64

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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.