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Finding the Fourth Proportional to 256,978.17, 385,245.54 and 123,675.03

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Solution

The fourth proportional to 256,978.17, 385,245.54 and 123,675.03 is: 185,405.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,978.17 : 385,245.54 = 123,675.03 : x
  2. Step 2: Convert to fraction form
    256,978.17/385,245.54 = 123,675.03/x
  3. Step 3: Cross multiply
    256,978.17x = 385,245.54 × 123,675.03
  4. Step 4: Simplify right side
    256,978.17x = 47,645,253,716.87
  5. Step 5: Solve for x
    x = 47,645,253,716.87/256,978.17
  6. Step 6: Final answer
    x = 185,405.84

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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.