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Finding the Fourth Proportional to 415,039.80, 622,851.30 and 178,552.20

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Solution

The fourth proportional to 415,039.80, 622,851.30 and 178,552.20 is: 267,953.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,039.80 : 622,851.30 = 178,552.20 : x
  2. Step 2: Convert to fraction form
    415,039.80/622,851.30 = 178,552.20/x
  3. Step 3: Cross multiply
    415,039.80x = 622,851.30 × 178,552.20
  4. Step 4: Simplify right side
    415,039.80x = 111,211,469,887.86
  5. Step 5: Solve for x
    x = 111,211,469,887.86/415,039.80
  6. Step 6: Final answer
    x = 267,953.75

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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.