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Finding the Fourth Proportional to 256,872.80, 385,136.40 and 116,559.20

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Solution

The fourth proportional to 256,872.80, 385,136.40 and 116,559.20 is: 174,760.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,872.80 : 385,136.40 = 116,559.20 : x
  2. Step 2: Convert to fraction form
    256,872.80/385,136.40 = 116,559.20/x
  3. Step 3: Cross multiply
    256,872.80x = 385,136.40 × 116,559.20
  4. Step 4: Simplify right side
    256,872.80x = 44,891,190,674.88
  5. Step 5: Solve for x
    x = 44,891,190,674.88/256,872.80
  6. Step 6: Final answer
    x = 174,760.39

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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.