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Finding the Fourth Proportional to 654,223.60, 980,333.92 and 440,198.88

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Solution

The fourth proportional to 654,223.60, 980,333.92 and 440,198.88 is: 659,624.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,223.60 : 980,333.92 = 440,198.88 : x
  2. Step 2: Convert to fraction form
    654,223.60/980,333.92 = 440,198.88/x
  3. Step 3: Cross multiply
    654,223.60x = 980,333.92 × 440,198.88
  4. Step 4: Simplify right side
    654,223.60x = 431,541,893,610.01
  5. Step 5: Solve for x
    x = 431,541,893,610.01/654,223.60
  6. Step 6: Final answer
    x = 659,624.47

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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.