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Finding the Fourth Proportional to 324,392.80, 486,589.20 and 102,776.80

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Solution

The fourth proportional to 324,392.80, 486,589.20 and 102,776.80 is: 154,165.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,392.80 : 486,589.20 = 102,776.80 : x
  2. Step 2: Convert to fraction form
    324,392.80/486,589.20 = 102,776.80/x
  3. Step 3: Cross multiply
    324,392.80x = 486,589.20 × 102,776.80
  4. Step 4: Simplify right side
    324,392.80x = 50,010,080,890.56
  5. Step 5: Solve for x
    x = 50,010,080,890.56/324,392.80
  6. Step 6: Final answer
    x = 154,165.20

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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.