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Finding the Fourth Proportional to 321,471.18, 482,226.83 and 84,814.10

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Solution

The fourth proportional to 321,471.18, 482,226.83 and 84,814.10 is: 127,226.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,471.18 : 482,226.83 = 84,814.10 : x
  2. Step 2: Convert to fraction form
    321,471.18/482,226.83 = 84,814.10/x
  3. Step 3: Cross multiply
    321,471.18x = 482,226.83 × 84,814.10
  4. Step 4: Simplify right side
    321,471.18x = 40,899,631,747.10
  5. Step 5: Solve for x
    x = 40,899,631,747.10/321,471.18
  6. Step 6: Final answer
    x = 127,226.43

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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.