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Finding the Fourth Proportional to 308,278.85, 461,255.52 and 181,987.80

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Solution

The fourth proportional to 308,278.85, 461,255.52 and 181,987.80 is: 272,295.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,278.85 : 461,255.52 = 181,987.80 : x
  2. Step 2: Convert to fraction form
    308,278.85/461,255.52 = 181,987.80/x
  3. Step 3: Cross multiply
    308,278.85x = 461,255.52 × 181,987.80
  4. Step 4: Simplify right side
    308,278.85x = 83,942,876,640.20
  5. Step 5: Solve for x
    x = 83,942,876,640.20/308,278.85
  6. Step 6: Final answer
    x = 272,295.28

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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.