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Finding the Fourth Proportional to 800,345.10, 1,200,519.68 and 327,030.46

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Solution

The fourth proportional to 800,345.10, 1,200,519.68 and 327,030.46 is: 490,546.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,345.10 : 1,200,519.68 = 327,030.46 : x
  2. Step 2: Convert to fraction form
    800,345.10/1,200,519.68 = 327,030.46/x
  3. Step 3: Cross multiply
    800,345.10x = 1,200,519.68 × 327,030.46
  4. Step 4: Simplify right side
    800,345.10x = 392,606,503,189.45
  5. Step 5: Solve for x
    x = 392,606,503,189.45/800,345.10
  6. Step 6: Final answer
    x = 490,546.52

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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.