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Finding the Fourth Proportional to 437,540.20, 654,998.10 and 259,955.80

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Solution

The fourth proportional to 437,540.20, 654,998.10 and 259,955.80 is: 389,154.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,540.20 : 654,998.10 = 259,955.80 : x
  2. Step 2: Convert to fraction form
    437,540.20/654,998.10 = 259,955.80/x
  3. Step 3: Cross multiply
    437,540.20x = 654,998.10 × 259,955.80
  4. Step 4: Simplify right side
    437,540.20x = 170,270,555,083.98
  5. Step 5: Solve for x
    x = 170,270,555,083.98/437,540.20
  6. Step 6: Final answer
    x = 389,154.08

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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.