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Finding the Fourth Proportional to 418,981.27, 628,477.76 and 119,461.97

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Solution

The fourth proportional to 418,981.27, 628,477.76 and 119,461.97 is: 179,194.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,981.27 : 628,477.76 = 119,461.97 : x
  2. Step 2: Convert to fraction form
    418,981.27/628,477.76 = 119,461.97/x
  3. Step 3: Cross multiply
    418,981.27x = 628,477.76 × 119,461.97
  4. Step 4: Simplify right side
    418,981.27x = 75,079,187,571.09
  5. Step 5: Solve for x
    x = 75,079,187,571.09/418,981.27
  6. Step 6: Final answer
    x = 179,194.62

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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.