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Finding the Fourth Proportional to 455,243.20, 682,864.80 and 218,528.80

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Solution

The fourth proportional to 455,243.20, 682,864.80 and 218,528.80 is: 327,793.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,243.20 : 682,864.80 = 218,528.80 : x
  2. Step 2: Convert to fraction form
    455,243.20/682,864.80 = 218,528.80/x
  3. Step 3: Cross multiply
    455,243.20x = 682,864.80 × 218,528.80
  4. Step 4: Simplify right side
    455,243.20x = 149,225,625,306.24
  5. Step 5: Solve for x
    x = 149,225,625,306.24/455,243.20
  6. Step 6: Final answer
    x = 327,793.20

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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.