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Finding the Fourth Proportional to 493,414.09, 680,917.20 and 289,468.51

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Solution

The fourth proportional to 493,414.09, 680,917.20 and 289,468.51 is: 399,469.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,414.09 : 680,917.20 = 289,468.51 : x
  2. Step 2: Convert to fraction form
    493,414.09/680,917.20 = 289,468.51/x
  3. Step 3: Cross multiply
    493,414.09x = 680,917.20 × 289,468.51
  4. Step 4: Simplify right side
    493,414.09x = 197,104,087,317.37
  5. Step 5: Solve for x
    x = 197,104,087,317.37/493,414.09
  6. Step 6: Final answer
    x = 399,469.92

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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.