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Finding the Fourth Proportional to 413,739.56, 620,609.38 and 133,256.81

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Solution

The fourth proportional to 413,739.56, 620,609.38 and 133,256.81 is: 199,885.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,739.56 : 620,609.38 = 133,256.81 : x
  2. Step 2: Convert to fraction form
    413,739.56/620,609.38 = 133,256.81/x
  3. Step 3: Cross multiply
    413,739.56x = 620,609.38 × 133,256.81
  4. Step 4: Simplify right side
    413,739.56x = 82,700,427,453.26
  5. Step 5: Solve for x
    x = 82,700,427,453.26/413,739.56
  6. Step 6: Final answer
    x = 199,885.23

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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.