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Finding the Fourth Proportional to 268,450, 402,675 and 71,458

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Solution

The fourth proportional to 268,450, 402,675 and 71,458 is: 107,187

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,450 : 402,675 = 71,458 : x
  2. Step 2: Convert to fraction form
    268,450/402,675 = 71,458/x
  3. Step 3: Cross multiply
    268,450x = 402,675 × 71,458
  4. Step 4: Simplify right side
    268,450x = 28,774,350,150
  5. Step 5: Solve for x
    x = 28,774,350,150/268,450
  6. Step 6: Final answer
    x = 107,187

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.