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Finding the Fourth Proportional to 422,596.67, 633,895.01 and 256,034.75

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Solution

The fourth proportional to 422,596.67, 633,895.01 and 256,034.75 is: 384,052.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,596.67 : 633,895.01 = 256,034.75 : x
  2. Step 2: Convert to fraction form
    422,596.67/633,895.01 = 256,034.75/x
  3. Step 3: Cross multiply
    422,596.67x = 633,895.01 × 256,034.75
  4. Step 4: Simplify right side
    422,596.67x = 162,299,149,131.42
  5. Step 5: Solve for x
    x = 162,299,149,131.42/422,596.67
  6. Step 6: Final answer
    x = 384,052.13

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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.