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Finding the Fourth Proportional to 368,890.52, 509,069.97 and 213,871.94

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Solution

The fourth proportional to 368,890.52, 509,069.97 and 213,871.94 is: 295,143.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,890.52 : 509,069.97 = 213,871.94 : x
  2. Step 2: Convert to fraction form
    368,890.52/509,069.97 = 213,871.94/x
  3. Step 3: Cross multiply
    368,890.52x = 509,069.97 × 213,871.94
  4. Step 4: Simplify right side
    368,890.52x = 108,875,780,170.63
  5. Step 5: Solve for x
    x = 108,875,780,170.63/368,890.52
  6. Step 6: Final answer
    x = 295,143.88

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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.