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Finding the Fourth Proportional to 256,514.56, 384,849.60 and 123,357.04

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Solution

The fourth proportional to 256,514.56, 384,849.60 and 123,357.04 is: 185,072.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,514.56 : 384,849.60 = 123,357.04 : x
  2. Step 2: Convert to fraction form
    256,514.56/384,849.60 = 123,357.04/x
  3. Step 3: Cross multiply
    256,514.56x = 384,849.60 × 123,357.04
  4. Step 4: Simplify right side
    256,514.56x = 47,473,907,501.18
  5. Step 5: Solve for x
    x = 47,473,907,501.18/256,514.56
  6. Step 6: Final answer
    x = 185,072.95

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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.