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Finding the Fourth Proportional to 441,129, 661,469.94 and 188,370.12

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Solution

The fourth proportional to 441,129, 661,469.94 and 188,370.12 is: 282,459.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,129 : 661,469.94 = 188,370.12 : x
  2. Step 2: Convert to fraction form
    441,129/661,469.94 = 188,370.12/x
  3. Step 3: Cross multiply
    441,129x = 661,469.94 × 188,370.12
  4. Step 4: Simplify right side
    441,129x = 124,601,171,974.19
  5. Step 5: Solve for x
    x = 124,601,171,974.19/441,129
  6. Step 6: Final answer
    x = 282,459.72

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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.