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Finding the Fourth Proportional to 256,858.56, 385,248.96 and 69,884.64

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Solution

The fourth proportional to 256,858.56, 385,248.96 and 69,884.64 is: 104,816.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,858.56 : 385,248.96 = 69,884.64 : x
  2. Step 2: Convert to fraction form
    256,858.56/385,248.96 = 69,884.64/x
  3. Step 3: Cross multiply
    256,858.56x = 385,248.96 × 69,884.64
  4. Step 4: Simplify right side
    256,858.56x = 26,922,984,879.97
  5. Step 5: Solve for x
    x = 26,922,984,879.97/256,858.56
  6. Step 6: Final answer
    x = 104,816.38

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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.