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Finding the Fourth Proportional to 540,409.36, 809,958.59 and 396,924.19

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Solution

The fourth proportional to 540,409.36, 809,958.59 and 396,924.19 is: 594,904.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,409.36 : 809,958.59 = 396,924.19 : x
  2. Step 2: Convert to fraction form
    540,409.36/809,958.59 = 396,924.19/x
  3. Step 3: Cross multiply
    540,409.36x = 809,958.59 × 396,924.19
  4. Step 4: Simplify right side
    540,409.36x = 321,492,151,234.88
  5. Step 5: Solve for x
    x = 321,492,151,234.88/540,409.36
  6. Step 6: Final answer
    x = 594,904.86

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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.