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Finding the Fourth Proportional to 388,302.28, 535,768.50 and 218,474.44

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Solution

The fourth proportional to 388,302.28, 535,768.50 and 218,474.44 is: 301,444.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,302.28 : 535,768.50 = 218,474.44 : x
  2. Step 2: Convert to fraction form
    388,302.28/535,768.50 = 218,474.44/x
  3. Step 3: Cross multiply
    388,302.28x = 535,768.50 × 218,474.44
  4. Step 4: Simplify right side
    388,302.28x = 117,051,723,007.14
  5. Step 5: Solve for x
    x = 117,051,723,007.14/388,302.28
  6. Step 6: Final answer
    x = 301,444.85

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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.