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Finding the Fourth Proportional to 539,433.52, 809,256.88 and 197,880.12

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Solution

The fourth proportional to 539,433.52, 809,256.88 and 197,880.12 is: 296,859.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,433.52 : 809,256.88 = 197,880.12 : x
  2. Step 2: Convert to fraction form
    539,433.52/809,256.88 = 197,880.12/x
  3. Step 3: Cross multiply
    539,433.52x = 809,256.88 × 197,880.12
  4. Step 4: Simplify right side
    539,433.52x = 160,135,846,142.14
  5. Step 5: Solve for x
    x = 160,135,846,142.14/539,433.52
  6. Step 6: Final answer
    x = 296,859.28

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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.