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Finding the Fourth Proportional to 413,631.98, 620,448.45 and 129,324.03

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Solution

The fourth proportional to 413,631.98, 620,448.45 and 129,324.03 is: 193,986.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,631.98 : 620,448.45 = 129,324.03 : x
  2. Step 2: Convert to fraction form
    413,631.98/620,448.45 = 129,324.03/x
  3. Step 3: Cross multiply
    413,631.98x = 620,448.45 × 129,324.03
  4. Step 4: Simplify right side
    413,631.98x = 80,238,891,634.57
  5. Step 5: Solve for x
    x = 80,238,891,634.57/413,631.98
  6. Step 6: Final answer
    x = 193,986.19

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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.