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Finding the Fourth Proportional to 378,715.50, 522,638.33 and 208,960.56

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Solution

The fourth proportional to 378,715.50, 522,638.33 and 208,960.56 is: 288,371.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,715.50 : 522,638.33 = 208,960.56 : x
  2. Step 2: Convert to fraction form
    378,715.50/522,638.33 = 208,960.56/x
  3. Step 3: Cross multiply
    378,715.50x = 522,638.33 × 208,960.56
  4. Step 4: Simplify right side
    378,715.50x = 109,210,797,069.46
  5. Step 5: Solve for x
    x = 109,210,797,069.46/378,715.50
  6. Step 6: Final answer
    x = 288,371.61

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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.