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Finding the Fourth Proportional to 269,998.80, 405,257.40 and 137,029.20

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Solution

The fourth proportional to 269,998.80, 405,257.40 and 137,029.20 is: 205,675.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,998.80 : 405,257.40 = 137,029.20 : x
  2. Step 2: Convert to fraction form
    269,998.80/405,257.40 = 137,029.20/x
  3. Step 3: Cross multiply
    269,998.80x = 405,257.40 × 137,029.20
  4. Step 4: Simplify right side
    269,998.80x = 55,532,097,316.08
  5. Step 5: Solve for x
    x = 55,532,097,316.08/269,998.80
  6. Step 6: Final answer
    x = 205,675.35

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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.