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Finding the Fourth Proportional to 820,063.83, 1,229,022.27 and 440,541

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Solution

The fourth proportional to 820,063.83, 1,229,022.27 and 440,541 is: 660,234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,063.83 : 1,229,022.27 = 440,541 : x
  2. Step 2: Convert to fraction form
    820,063.83/1,229,022.27 = 440,541/x
  3. Step 3: Cross multiply
    820,063.83x = 1,229,022.27 × 440,541
  4. Step 4: Simplify right side
    820,063.83x = 541,434,699,848.07
  5. Step 5: Solve for x
    x = 541,434,699,848.07/820,063.83
  6. Step 6: Final answer
    x = 660,234.83

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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.