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Finding the Fourth Proportional to 327,189.94, 490,791.06 and 102,545.40

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Solution

The fourth proportional to 327,189.94, 490,791.06 and 102,545.40 is: 153,820.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,189.94 : 490,791.06 = 102,545.40 : x
  2. Step 2: Convert to fraction form
    327,189.94/490,791.06 = 102,545.40/x
  3. Step 3: Cross multiply
    327,189.94x = 490,791.06 × 102,545.40
  4. Step 4: Simplify right side
    327,189.94x = 50,328,365,564.12
  5. Step 5: Solve for x
    x = 50,328,365,564.12/327,189.94
  6. Step 6: Final answer
    x = 153,820.03

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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.