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Finding the Fourth Proportional to 272,063.88, 408,736.16 and 256,958.20

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Solution

The fourth proportional to 272,063.88, 408,736.16 and 256,958.20 is: 386,042.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,063.88 : 408,736.16 = 256,958.20 : x
  2. Step 2: Convert to fraction form
    272,063.88/408,736.16 = 256,958.20/x
  3. Step 3: Cross multiply
    272,063.88x = 408,736.16 × 256,958.20
  4. Step 4: Simplify right side
    272,063.88x = 105,028,107,948.51
  5. Step 5: Solve for x
    x = 105,028,107,948.51/272,063.88
  6. Step 6: Final answer
    x = 386,042.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.