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Finding the Fourth Proportional to 415,233.80, 622,791.56 and 130,887.40

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Solution

The fourth proportional to 415,233.80, 622,791.56 and 130,887.40 is: 196,312.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,233.80 : 622,791.56 = 130,887.40 : x
  2. Step 2: Convert to fraction form
    415,233.80/622,791.56 = 130,887.40/x
  3. Step 3: Cross multiply
    415,233.80x = 622,791.56 × 130,887.40
  4. Step 4: Simplify right side
    415,233.80x = 81,515,568,030.34
  5. Step 5: Solve for x
    x = 81,515,568,030.34/415,233.80
  6. Step 6: Final answer
    x = 196,312.46

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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.