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Finding the Fourth Proportional to 306,343.80, 422,625.42 and 221,274.36

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Solution

The fourth proportional to 306,343.80, 422,625.42 and 221,274.36 is: 305,265.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,343.80 : 422,625.42 = 221,274.36 : x
  2. Step 2: Convert to fraction form
    306,343.80/422,625.42 = 221,274.36/x
  3. Step 3: Cross multiply
    306,343.80x = 422,625.42 × 221,274.36
  4. Step 4: Simplify right side
    306,343.80x = 93,516,169,330.23
  5. Step 5: Solve for x
    x = 93,516,169,330.23/306,343.80
  6. Step 6: Final answer
    x = 305,265.42

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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.