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Finding the Fourth Proportional to 820,326.10, 1,230,489.15 and 809,266.90

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Solution

The fourth proportional to 820,326.10, 1,230,489.15 and 809,266.90 is: 1,213,900.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,326.10 : 1,230,489.15 = 809,266.90 : x
  2. Step 2: Convert to fraction form
    820,326.10/1,230,489.15 = 809,266.90/x
  3. Step 3: Cross multiply
    820,326.10x = 1,230,489.15 × 809,266.90
  4. Step 4: Simplify right side
    820,326.10x = 995,794,139,904.14
  5. Step 5: Solve for x
    x = 995,794,139,904.14/820,326.10
  6. Step 6: Final answer
    x = 1,213,900.35

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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.