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Finding the Fourth Proportional to 352,145.49, 485,947.67 and 208,819.77

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Solution

The fourth proportional to 352,145.49, 485,947.67 and 208,819.77 is: 288,163.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,145.49 : 485,947.67 = 208,819.77 : x
  2. Step 2: Convert to fraction form
    352,145.49/485,947.67 = 208,819.77/x
  3. Step 3: Cross multiply
    352,145.49x = 485,947.67 × 208,819.77
  4. Step 4: Simplify right side
    352,145.49x = 101,475,479,637.34
  5. Step 5: Solve for x
    x = 101,475,479,637.34/352,145.49
  6. Step 6: Final answer
    x = 288,163.51

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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.