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Finding the Fourth Proportional to 800,357.13, 1,200,537.63 and 327,042.45

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Solution

The fourth proportional to 800,357.13, 1,200,537.63 and 327,042.45 is: 490,564.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,357.13 : 1,200,537.63 = 327,042.45 : x
  2. Step 2: Convert to fraction form
    800,357.13/1,200,537.63 = 327,042.45/x
  3. Step 3: Cross multiply
    800,357.13x = 1,200,537.63 × 327,042.45
  4. Step 4: Simplify right side
    800,357.13x = 392,626,767,832.39
  5. Step 5: Solve for x
    x = 392,626,767,832.39/800,357.13
  6. Step 6: Final answer
    x = 490,564.47

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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.