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Finding the Fourth Proportional to 306,799.14, 423,513.46 and 206,255.46

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Solution

The fourth proportional to 306,799.14, 423,513.46 and 206,255.46 is: 284,720.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,799.14 : 423,513.46 = 206,255.46 : x
  2. Step 2: Convert to fraction form
    306,799.14/423,513.46 = 206,255.46/x
  3. Step 3: Cross multiply
    306,799.14x = 423,513.46 × 206,255.46
  4. Step 4: Simplify right side
    306,799.14x = 87,351,963,508.49
  5. Step 5: Solve for x
    x = 87,351,963,508.49/306,799.14
  6. Step 6: Final answer
    x = 284,720.37

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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.