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Finding the Fourth Proportional to 539,196.60, 809,313.30 and 273,257.40

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Solution

The fourth proportional to 539,196.60, 809,313.30 and 273,257.40 is: 410,148.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,196.60 : 809,313.30 = 273,257.40 : x
  2. Step 2: Convert to fraction form
    539,196.60/809,313.30 = 273,257.40/x
  3. Step 3: Cross multiply
    539,196.60x = 809,313.30 × 273,257.40
  4. Step 4: Simplify right side
    539,196.60x = 221,150,848,143.42
  5. Step 5: Solve for x
    x = 221,150,848,143.42/539,196.60
  6. Step 6: Final answer
    x = 410,148.82

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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.