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Finding the Fourth Proportional to 256,969.26, 385,289.46 and 123,583.86

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Solution

The fourth proportional to 256,969.26, 385,289.46 and 123,583.86 is: 185,296.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,969.26 : 385,289.46 = 123,583.86 : x
  2. Step 2: Convert to fraction form
    256,969.26/385,289.46 = 123,583.86/x
  3. Step 3: Cross multiply
    256,969.26x = 385,289.46 × 123,583.86
  4. Step 4: Simplify right side
    256,969.26x = 47,615,558,684.12
  5. Step 5: Solve for x
    x = 47,615,558,684.12/256,969.26
  6. Step 6: Final answer
    x = 185,296.71

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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.