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Finding the Fourth Proportional to 256,833.60, 384,991.20 and 116,692.80

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Solution

The fourth proportional to 256,833.60, 384,991.20 and 116,692.80 is: 174,921.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,833.60 : 384,991.20 = 116,692.80 : x
  2. Step 2: Convert to fraction form
    256,833.60/384,991.20 = 116,692.80/x
  3. Step 3: Cross multiply
    256,833.60x = 384,991.20 × 116,692.80
  4. Step 4: Simplify right side
    256,833.60x = 44,925,701,103.36
  5. Step 5: Solve for x
    x = 44,925,701,103.36/256,833.60
  6. Step 6: Final answer
    x = 174,921.43

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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.