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Finding the Fourth Proportional to 269,762.80, 404,158.20 and 129,211.60

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Solution

The fourth proportional to 269,762.80, 404,158.20 and 129,211.60 is: 193,584.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,762.80 : 404,158.20 = 129,211.60 : x
  2. Step 2: Convert to fraction form
    269,762.80/404,158.20 = 129,211.60/x
  3. Step 3: Cross multiply
    269,762.80x = 404,158.20 × 129,211.60
  4. Step 4: Simplify right side
    269,762.80x = 52,221,927,675.12
  5. Step 5: Solve for x
    x = 52,221,927,675.12/269,762.80
  6. Step 6: Final answer
    x = 193,584.61

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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.