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Finding the Fourth Proportional to 256,120.80, 384,181.20 and 163,039.20

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Solution

The fourth proportional to 256,120.80, 384,181.20 and 163,039.20 is: 244,558.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,120.80 : 384,181.20 = 163,039.20 : x
  2. Step 2: Convert to fraction form
    256,120.80/384,181.20 = 163,039.20/x
  3. Step 3: Cross multiply
    256,120.80x = 384,181.20 × 163,039.20
  4. Step 4: Simplify right side
    256,120.80x = 62,636,595,503.04
  5. Step 5: Solve for x
    x = 62,636,595,503.04/256,120.80
  6. Step 6: Final answer
    x = 244,558.80

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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.