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Finding the Fourth Proportional to 422,778.65, 631,846.59 and 309,165.83

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Solution

The fourth proportional to 422,778.65, 631,846.59 and 309,165.83 is: 462,051.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,778.65 : 631,846.59 = 309,165.83 : x
  2. Step 2: Convert to fraction form
    422,778.65/631,846.59 = 309,165.83/x
  3. Step 3: Cross multiply
    422,778.65x = 631,846.59 × 309,165.83
  4. Step 4: Simplify right side
    422,778.65x = 195,345,375,430.02
  5. Step 5: Solve for x
    x = 195,345,375,430.02/422,778.65
  6. Step 6: Final answer
    x = 462,051.18

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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.