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Finding the Fourth Proportional to 282,429, 389,786.58 and 163,197

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Solution

The fourth proportional to 282,429, 389,786.58 and 163,197 is: 225,231.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,429 : 389,786.58 = 163,197 : x
  2. Step 2: Convert to fraction form
    282,429/389,786.58 = 163,197/x
  3. Step 3: Cross multiply
    282,429x = 389,786.58 × 163,197
  4. Step 4: Simplify right side
    282,429x = 63,612,000,496.26
  5. Step 5: Solve for x
    x = 63,612,000,496.26/282,429
  6. Step 6: Final answer
    x = 225,231.83

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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.