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Finding the Fourth Proportional to 259,904.46, 389,905.29 and 82,363.80

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Solution

The fourth proportional to 259,904.46, 389,905.29 and 82,363.80 is: 123,561.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,904.46 : 389,905.29 = 82,363.80 : x
  2. Step 2: Convert to fraction form
    259,904.46/389,905.29 = 82,363.80/x
  3. Step 3: Cross multiply
    259,904.46x = 389,905.29 × 82,363.80
  4. Step 4: Simplify right side
    259,904.46x = 32,114,081,324.50
  5. Step 5: Solve for x
    x = 32,114,081,324.50/259,904.46
  6. Step 6: Final answer
    x = 123,561.10

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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.