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Finding the Fourth Proportional to 509,163.51, 702,645.93 and 279,735.57

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Solution

The fourth proportional to 509,163.51, 702,645.93 and 279,735.57 is: 386,035.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,163.51 : 702,645.93 = 279,735.57 : x
  2. Step 2: Convert to fraction form
    509,163.51/702,645.93 = 279,735.57/x
  3. Step 3: Cross multiply
    509,163.51x = 702,645.93 × 279,735.57
  4. Step 4: Simplify right side
    509,163.51x = 196,555,059,736.73
  5. Step 5: Solve for x
    x = 196,555,059,736.73/509,163.51
  6. Step 6: Final answer
    x = 386,035.24

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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.