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Finding the Fourth Proportional to 509,214.90, 702,716.73 and 279,786.87

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Solution

The fourth proportional to 509,214.90, 702,716.73 and 279,786.87 is: 386,105.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,214.90 : 702,716.73 = 279,786.87 : x
  2. Step 2: Convert to fraction form
    509,214.90/702,716.73 = 279,786.87/x
  3. Step 3: Cross multiply
    509,214.90x = 702,716.73 × 279,786.87
  4. Step 4: Simplify right side
    509,214.90x = 196,610,914,383.34
  5. Step 5: Solve for x
    x = 196,610,914,383.34/509,214.90
  6. Step 6: Final answer
    x = 386,105.97

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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.