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Finding the Fourth Proportional to 388,286.46, 535,834.20 and 218,520.58

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Solution

The fourth proportional to 388,286.46, 535,834.20 and 218,520.58 is: 301,557.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,286.46 : 535,834.20 = 218,520.58 : x
  2. Step 2: Convert to fraction form
    388,286.46/535,834.20 = 218,520.58/x
  3. Step 3: Cross multiply
    388,286.46x = 535,834.20 × 218,520.58
  4. Step 4: Simplify right side
    388,286.46x = 117,090,800,167.84
  5. Step 5: Solve for x
    x = 117,090,800,167.84/388,286.46
  6. Step 6: Final answer
    x = 301,557.77

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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.