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Finding the Fourth Proportional to 282,438, 389,799 and 163,206

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Solution

The fourth proportional to 282,438, 389,799 and 163,206 is: 225,244.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,438 : 389,799 = 163,206 : x
  2. Step 2: Convert to fraction form
    282,438/389,799 = 163,206/x
  3. Step 3: Cross multiply
    282,438x = 389,799 × 163,206
  4. Step 4: Simplify right side
    282,438x = 63,617,535,594
  5. Step 5: Solve for x
    x = 63,617,535,594/282,438
  6. Step 6: Final answer
    x = 225,244.25

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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.