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Finding the Fourth Proportional to 486,308.20, 729,024.90 and 308,723.80

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Solution

The fourth proportional to 486,308.20, 729,024.90 and 308,723.80 is: 462,808.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,308.20 : 729,024.90 = 308,723.80 : x
  2. Step 2: Convert to fraction form
    486,308.20/729,024.90 = 308,723.80/x
  3. Step 3: Cross multiply
    486,308.20x = 729,024.90 × 308,723.80
  4. Step 4: Simplify right side
    486,308.20x = 225,067,337,422.62
  5. Step 5: Solve for x
    x = 225,067,337,422.62/486,308.20
  6. Step 6: Final answer
    x = 462,808.02

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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.