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Finding the Fourth Proportional to 321,477.95, 482,243.22 and 161,471.61

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Solution

The fourth proportional to 321,477.95, 482,243.22 and 161,471.61 is: 242,220.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,477.95 : 482,243.22 = 161,471.61 : x
  2. Step 2: Convert to fraction form
    321,477.95/482,243.22 = 161,471.61/x
  3. Step 3: Cross multiply
    321,477.95x = 482,243.22 × 161,471.61
  4. Step 4: Simplify right side
    321,477.95x = 77,868,589,144.98
  5. Step 5: Solve for x
    x = 77,868,589,144.98/321,477.95
  6. Step 6: Final answer
    x = 242,220.62

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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.