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Finding the Fourth Proportional to 486,542.20, 728,063.70 and 329,078.20

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Solution

The fourth proportional to 486,542.20, 728,063.70 and 329,078.20 is: 492,433.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,542.20 : 728,063.70 = 329,078.20 : x
  2. Step 2: Convert to fraction form
    486,542.20/728,063.70 = 329,078.20/x
  3. Step 3: Cross multiply
    486,542.20x = 728,063.70 × 329,078.20
  4. Step 4: Simplify right side
    486,542.20x = 239,589,891,881.34
  5. Step 5: Solve for x
    x = 239,589,891,881.34/486,542.20
  6. Step 6: Final answer
    x = 492,433.94

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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.