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Finding the Fourth Proportional to 365,051.72, 503,756.34 and 203,906

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Solution

The fourth proportional to 365,051.72, 503,756.34 and 203,906 is: 281,381.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,051.72 : 503,756.34 = 203,906 : x
  2. Step 2: Convert to fraction form
    365,051.72/503,756.34 = 203,906/x
  3. Step 3: Cross multiply
    365,051.72x = 503,756.34 × 203,906
  4. Step 4: Simplify right side
    365,051.72x = 102,718,940,264.04
  5. Step 5: Solve for x
    x = 102,718,940,264.04/365,051.72
  6. Step 6: Final answer
    x = 281,381.88

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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.