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Finding the Fourth Proportional to 465,576.09, 642,506.41 and 261,614.78

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Solution

The fourth proportional to 465,576.09, 642,506.41 and 261,614.78 is: 361,034.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,576.09 : 642,506.41 = 261,614.78 : x
  2. Step 2: Convert to fraction form
    465,576.09/642,506.41 = 261,614.78/x
  3. Step 3: Cross multiply
    465,576.09x = 642,506.41 × 261,614.78
  4. Step 4: Simplify right side
    465,576.09x = 168,089,172,624.63
  5. Step 5: Solve for x
    x = 168,089,172,624.63/465,576.09
  6. Step 6: Final answer
    x = 361,034.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.