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Finding the Fourth Proportional to 365,142.33, 503,920.10 and 203,998.30

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Solution

The fourth proportional to 365,142.33, 503,920.10 and 203,998.30 is: 281,530.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,142.33 : 503,920.10 = 203,998.30 : x
  2. Step 2: Convert to fraction form
    365,142.33/503,920.10 = 203,998.30/x
  3. Step 3: Cross multiply
    365,142.33x = 503,920.10 × 203,998.30
  4. Step 4: Simplify right side
    365,142.33x = 102,798,842,986.03
  5. Step 5: Solve for x
    x = 102,798,842,986.03/365,142.33
  6. Step 6: Final answer
    x = 281,530.88

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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.