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Finding the Fourth Proportional to 256,489.20, 384,042.60 and 185,986.80

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Solution

The fourth proportional to 256,489.20, 384,042.60 and 185,986.80 is: 278,478.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,489.20 : 384,042.60 = 185,986.80 : x
  2. Step 2: Convert to fraction form
    256,489.20/384,042.60 = 185,986.80/x
  3. Step 3: Cross multiply
    256,489.20x = 384,042.60 × 185,986.80
  4. Step 4: Simplify right side
    256,489.20x = 71,426,854,237.68
  5. Step 5: Solve for x
    x = 71,426,854,237.68/256,489.20
  6. Step 6: Final answer
    x = 278,478.99

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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.