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Finding the Fourth Proportional to 422,777.65, 631,845.10 and 309,164.83

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Solution

The fourth proportional to 422,777.65, 631,845.10 and 309,164.83 is: 462,049.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,777.65 : 631,845.10 = 309,164.83 : x
  2. Step 2: Convert to fraction form
    422,777.65/631,845.10 = 309,164.83/x
  3. Step 3: Cross multiply
    422,777.65x = 631,845.10 × 309,164.83
  4. Step 4: Simplify right side
    422,777.65x = 195,344,282,927.83
  5. Step 5: Solve for x
    x = 195,344,282,927.83/422,777.65
  6. Step 6: Final answer
    x = 462,049.69

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1.5x scale

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.