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Finding the Fourth Proportional to 361,770, 499,242.60 and 200,649.72

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Solution

The fourth proportional to 361,770, 499,242.60 and 200,649.72 is: 276,896.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,770 : 499,242.60 = 200,649.72 : x
  2. Step 2: Convert to fraction form
    361,770/499,242.60 = 200,649.72/x
  3. Step 3: Cross multiply
    361,770x = 499,242.60 × 200,649.72
  4. Step 4: Simplify right side
    361,770x = 100,172,887,902.07
  5. Step 5: Solve for x
    x = 100,172,887,902.07/361,770
  6. Step 6: Final answer
    x = 276,896.61

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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.