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Finding the Fourth Proportional to 263,996.65, 364,317 and 143,136.88

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Solution

The fourth proportional to 263,996.65, 364,317 and 143,136.88 is: 197,529.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,996.65 : 364,317 = 143,136.88 : x
  2. Step 2: Convert to fraction form
    263,996.65/364,317 = 143,136.88/x
  3. Step 3: Cross multiply
    263,996.65x = 364,317 × 143,136.88
  4. Step 4: Simplify right side
    263,996.65x = 52,147,198,710.96
  5. Step 5: Solve for x
    x = 52,147,198,710.96/263,996.65
  6. Step 6: Final answer
    x = 197,529.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.