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Finding the Fourth Proportional to 256,412.80, 384,619.20 and 123,552.55

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Solution

The fourth proportional to 256,412.80, 384,619.20 and 123,552.55 is: 185,328.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,412.80 : 384,619.20 = 123,552.55 : x
  2. Step 2: Convert to fraction form
    256,412.80/384,619.20 = 123,552.55/x
  3. Step 3: Cross multiply
    256,412.80x = 384,619.20 × 123,552.55
  4. Step 4: Simplify right side
    256,412.80x = 47,520,682,938.96
  5. Step 5: Solve for x
    x = 47,520,682,938.96/256,412.80
  6. Step 6: Final answer
    x = 185,328.83

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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.