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Finding the Fourth Proportional to 306,397.28, 422,828.21 and 172,261.28

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Solution

The fourth proportional to 306,397.28, 422,828.21 and 172,261.28 is: 237,720.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,397.28 : 422,828.21 = 172,261.28 : x
  2. Step 2: Convert to fraction form
    306,397.28/422,828.21 = 172,261.28/x
  3. Step 3: Cross multiply
    306,397.28x = 422,828.21 × 172,261.28
  4. Step 4: Simplify right side
    306,397.28x = 72,836,930,162.43
  5. Step 5: Solve for x
    x = 72,836,930,162.43/306,397.28
  6. Step 6: Final answer
    x = 237,720.55

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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.