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Finding the Fourth Proportional to 415,065.85, 622,536.80 and 115,515.20

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Solution

The fourth proportional to 415,065.85, 622,536.80 and 115,515.20 is: 173,255.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,065.85 : 622,536.80 = 115,515.20 : x
  2. Step 2: Convert to fraction form
    415,065.85/622,536.80 = 115,515.20/x
  3. Step 3: Cross multiply
    415,065.85x = 622,536.80 × 115,515.20
  4. Step 4: Simplify right side
    415,065.85x = 71,912,463,938.13
  5. Step 5: Solve for x
    x = 71,912,463,938.13/415,065.85
  6. Step 6: Final answer
    x = 173,255.56

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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.