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Finding the Fourth Proportional to 422,776.65, 631,843.61 and 309,163.83

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Solution

The fourth proportional to 422,776.65, 631,843.61 and 309,163.83 is: 462,048.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,776.65 : 631,843.61 = 309,163.83 : x
  2. Step 2: Convert to fraction form
    422,776.65/631,843.61 = 309,163.83/x
  3. Step 3: Cross multiply
    422,776.65x = 631,843.61 × 309,163.83
  4. Step 4: Simplify right side
    422,776.65x = 195,343,190,428.63
  5. Step 5: Solve for x
    x = 195,343,190,428.63/422,776.65
  6. Step 6: Final answer
    x = 462,048.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.