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Finding the Fourth Proportional to 306,293.16, 422,564.94 and 225,912

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Solution

The fourth proportional to 306,293.16, 422,564.94 and 225,912 is: 311,670.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,293.16 : 422,564.94 = 225,912 : x
  2. Step 2: Convert to fraction form
    306,293.16/422,564.94 = 225,912/x
  3. Step 3: Cross multiply
    306,293.16x = 422,564.94 × 225,912
  4. Step 4: Simplify right side
    306,293.16x = 95,462,490,725.28
  5. Step 5: Solve for x
    x = 95,462,490,725.28/306,293.16
  6. Step 6: Final answer
    x = 311,670.33

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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.