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Finding the Fourth Proportional to 441,505.78, 661,739.95 and 204,347.54

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Solution

The fourth proportional to 441,505.78, 661,739.95 and 204,347.54 is: 306,281.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,505.78 : 661,739.95 = 204,347.54 : x
  2. Step 2: Convert to fraction form
    441,505.78/661,739.95 = 204,347.54/x
  3. Step 3: Cross multiply
    441,505.78x = 661,739.95 × 204,347.54
  4. Step 4: Simplify right side
    441,505.78x = 135,224,930,902.22
  5. Step 5: Solve for x
    x = 135,224,930,902.22/441,505.78
  6. Step 6: Final answer
    x = 306,281.22

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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.