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Finding the Fourth Proportional to 288,046.60, 431,195.10 and 256,553.80

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Solution

The fourth proportional to 288,046.60, 431,195.10 and 256,553.80 is: 384,051.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,046.60 : 431,195.10 = 256,553.80 : x
  2. Step 2: Convert to fraction form
    288,046.60/431,195.10 = 256,553.80/x
  3. Step 3: Cross multiply
    288,046.60x = 431,195.10 × 256,553.80
  4. Step 4: Simplify right side
    288,046.60x = 110,624,741,446.38
  5. Step 5: Solve for x
    x = 110,624,741,446.38/288,046.60
  6. Step 6: Final answer
    x = 384,051.54

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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.