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Finding the Fourth Proportional to 486,633.42, 729,781.07 and 270,821.48

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Solution

The fourth proportional to 486,633.42, 729,781.07 and 270,821.48 is: 406,138.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,633.42 : 729,781.07 = 270,821.48 : x
  2. Step 2: Convert to fraction form
    486,633.42/729,781.07 = 270,821.48/x
  3. Step 3: Cross multiply
    486,633.42x = 729,781.07 × 270,821.48
  4. Step 4: Simplify right side
    486,633.42x = 197,640,384,450.37
  5. Step 5: Solve for x
    x = 197,640,384,450.37/486,633.42
  6. Step 6: Final answer
    x = 406,138.12

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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.