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Finding the Fourth Proportional to 256,806.54, 385,399.02 and 121,871.04

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Solution

The fourth proportional to 256,806.54, 385,399.02 and 121,871.04 is: 182,896.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,806.54 : 385,399.02 = 121,871.04 : x
  2. Step 2: Convert to fraction form
    256,806.54/385,399.02 = 121,871.04/x
  3. Step 3: Cross multiply
    256,806.54x = 385,399.02 × 121,871.04
  4. Step 4: Simplify right side
    256,806.54x = 46,968,979,382.38
  5. Step 5: Solve for x
    x = 46,968,979,382.38/256,806.54
  6. Step 6: Final answer
    x = 182,896.35

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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.