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Finding the Fourth Proportional to 361,293.76, 498,642.24 and 218,074.24

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Solution

The fourth proportional to 361,293.76, 498,642.24 and 218,074.24 is: 300,976.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,293.76 : 498,642.24 = 218,074.24 : x
  2. Step 2: Convert to fraction form
    361,293.76/498,642.24 = 218,074.24/x
  3. Step 3: Cross multiply
    361,293.76x = 498,642.24 × 218,074.24
  4. Step 4: Simplify right side
    361,293.76x = 108,741,027,519.90
  5. Step 5: Solve for x
    x = 108,741,027,519.90/361,293.76
  6. Step 6: Final answer
    x = 300,976.77

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1.5x scale

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.