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Finding the Fourth Proportional to 667,117.87, 920,621.44 and 361,194.21

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Solution

The fourth proportional to 667,117.87, 920,621.44 and 361,194.21 is: 498,447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,117.87 : 920,621.44 = 361,194.21 : x
  2. Step 2: Convert to fraction form
    667,117.87/920,621.44 = 361,194.21/x
  3. Step 3: Cross multiply
    667,117.87x = 920,621.44 × 361,194.21
  4. Step 4: Simplify right side
    667,117.87x = 332,523,133,729.86
  5. Step 5: Solve for x
    x = 332,523,133,729.86/667,117.87
  6. Step 6: Final answer
    x = 498,447.35

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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.