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Finding the Fourth Proportional to 282,504, 389,890.17 and 163,272

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Solution

The fourth proportional to 282,504, 389,890.17 and 163,272 is: 225,335.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,504 : 389,890.17 = 163,272 : x
  2. Step 2: Convert to fraction form
    282,504/389,890.17 = 163,272/x
  3. Step 3: Cross multiply
    282,504x = 389,890.17 × 163,272
  4. Step 4: Simplify right side
    282,504x = 63,658,147,836.24
  5. Step 5: Solve for x
    x = 63,658,147,836.24/282,504
  6. Step 6: Final answer
    x = 225,335.39

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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.