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Finding the Fourth Proportional to 470,290.50, 649,186.89 and 327,133.62

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Solution

The fourth proportional to 470,290.50, 649,186.89 and 327,133.62 is: 451,573.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,290.50 : 649,186.89 = 327,133.62 : x
  2. Step 2: Convert to fraction form
    470,290.50/649,186.89 = 327,133.62/x
  3. Step 3: Cross multiply
    470,290.50x = 649,186.89 × 327,133.62
  4. Step 4: Simplify right side
    470,290.50x = 212,370,857,382.24
  5. Step 5: Solve for x
    x = 212,370,857,382.24/470,290.50
  6. Step 6: Final answer
    x = 451,573.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.