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Finding the Fourth Proportional to 253,892.42, 380,986.25 and 200,256.25

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Solution

The fourth proportional to 253,892.42, 380,986.25 and 200,256.25 is: 300,500.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,892.42 : 380,986.25 = 200,256.25 : x
  2. Step 2: Convert to fraction form
    253,892.42/380,986.25 = 200,256.25/x
  3. Step 3: Cross multiply
    253,892.42x = 380,986.25 × 200,256.25
  4. Step 4: Simplify right side
    253,892.42x = 76,294,877,274.74
  5. Step 5: Solve for x
    x = 76,294,877,274.74/253,892.42
  6. Step 6: Final answer
    x = 300,500.80

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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.