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Finding the Fourth Proportional to 256,884.56, 385,287.92 and 69,910.64

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Solution

The fourth proportional to 256,884.56, 385,287.92 and 69,910.64 is: 104,855.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,884.56 : 385,287.92 = 69,910.64 : x
  2. Step 2: Convert to fraction form
    256,884.56/385,287.92 = 69,910.64/x
  3. Step 3: Cross multiply
    256,884.56x = 385,287.92 × 69,910.64
  4. Step 4: Simplify right side
    256,884.56x = 26,935,725,071.47
  5. Step 5: Solve for x
    x = 26,935,725,071.47/256,884.56
  6. Step 6: Final answer
    x = 104,855.37

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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.