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Finding the Fourth Proportional to 256,254.54, 384,452.01 and 123,246.06

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Solution

The fourth proportional to 256,254.54, 384,452.01 and 123,246.06 is: 184,902.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,254.54 : 384,452.01 = 123,246.06 : x
  2. Step 2: Convert to fraction form
    256,254.54/384,452.01 = 123,246.06/x
  3. Step 3: Cross multiply
    256,254.54x = 384,452.01 × 123,246.06
  4. Step 4: Simplify right side
    256,254.54x = 47,382,195,491.58
  5. Step 5: Solve for x
    x = 47,382,195,491.58/256,254.54
  6. Step 6: Final answer
    x = 184,902.85

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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.