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Finding the Fourth Proportional to 667,029.49, 920,499.55 and 361,105.75

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Solution

The fourth proportional to 667,029.49, 920,499.55 and 361,105.75 is: 498,325.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,029.49 : 920,499.55 = 361,105.75 : x
  2. Step 2: Convert to fraction form
    667,029.49/920,499.55 = 361,105.75/x
  3. Step 3: Cross multiply
    667,029.49x = 920,499.55 × 361,105.75
  4. Step 4: Simplify right side
    667,029.49x = 332,397,680,377.41
  5. Step 5: Solve for x
    x = 332,397,680,377.41/667,029.49
  6. Step 6: Final answer
    x = 498,325.31

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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.