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Finding the Fourth Proportional to 486,632.92, 729,780.31 and 270,820.97

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Solution

The fourth proportional to 486,632.92, 729,780.31 and 270,820.97 is: 406,137.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,632.92 : 729,780.31 = 270,820.97 : x
  2. Step 2: Convert to fraction form
    486,632.92/729,780.31 = 270,820.97/x
  3. Step 3: Cross multiply
    486,632.92x = 729,780.31 × 270,820.97
  4. Step 4: Simplify right side
    486,632.92x = 197,639,811,441.10
  5. Step 5: Solve for x
    x = 197,639,811,441.10/486,632.92
  6. Step 6: Final answer
    x = 406,137.36

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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.