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Finding the Fourth Proportional to 309,979.76, 427,662.04 and 202,611.80

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Solution

The fourth proportional to 309,979.76, 427,662.04 and 202,611.80 is: 279,532.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,979.76 : 427,662.04 = 202,611.80 : x
  2. Step 2: Convert to fraction form
    309,979.76/427,662.04 = 202,611.80/x
  3. Step 3: Cross multiply
    309,979.76x = 427,662.04 × 202,611.80
  4. Step 4: Simplify right side
    309,979.76x = 86,649,375,716.07
  5. Step 5: Solve for x
    x = 86,649,375,716.07/309,979.76
  6. Step 6: Final answer
    x = 279,532.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.