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Finding the Fourth Proportional to 486,633.23, 729,780.78 and 270,821.29

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Solution

The fourth proportional to 486,633.23, 729,780.78 and 270,821.29 is: 406,137.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,633.23 : 729,780.78 = 270,821.29 : x
  2. Step 2: Convert to fraction form
    486,633.23/729,780.78 = 270,821.29/x
  3. Step 3: Cross multiply
    486,633.23x = 729,780.78 × 270,821.29
  4. Step 4: Simplify right side
    486,633.23x = 197,640,168,607.90
  5. Step 5: Solve for x
    x = 197,640,168,607.90/486,633.23
  6. Step 6: Final answer
    x = 406,137.84

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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.