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Finding the Fourth Proportional to 282,518, 389,909.44 and 163,286

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Solution

The fourth proportional to 282,518, 389,909.44 and 163,286 is: 225,354.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,518 : 389,909.44 = 163,286 : x
  2. Step 2: Convert to fraction form
    282,518/389,909.44 = 163,286/x
  3. Step 3: Cross multiply
    282,518x = 389,909.44 × 163,286
  4. Step 4: Simplify right side
    282,518x = 63,666,752,819.84
  5. Step 5: Solve for x
    x = 63,666,752,819.84/282,518
  6. Step 6: Final answer
    x = 225,354.68

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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.