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Finding the Fourth Proportional to 470,651.07, 649,502.78 and 255,791.69

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Solution

The fourth proportional to 470,651.07, 649,502.78 and 255,791.69 is: 352,994.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,651.07 : 649,502.78 = 255,791.69 : x
  2. Step 2: Convert to fraction form
    470,651.07/649,502.78 = 255,791.69/x
  3. Step 3: Cross multiply
    470,651.07x = 649,502.78 × 255,791.69
  4. Step 4: Simplify right side
    470,651.07x = 166,137,409,229.43
  5. Step 5: Solve for x
    x = 166,137,409,229.43/470,651.07
  6. Step 6: Final answer
    x = 352,994.86

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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.