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Finding the Fourth Proportional to 259,902.10, 389,451.31 and 202,840.71

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Solution

The fourth proportional to 259,902.10, 389,451.31 and 202,840.71 is: 303,947.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,902.10 : 389,451.31 = 202,840.71 : x
  2. Step 2: Convert to fraction form
    259,902.10/389,451.31 = 202,840.71/x
  3. Step 3: Cross multiply
    259,902.10x = 389,451.31 × 202,840.71
  4. Step 4: Simplify right side
    259,902.10x = 78,996,578,750.10
  5. Step 5: Solve for x
    x = 78,996,578,750.10/259,902.10
  6. Step 6: Final answer
    x = 303,947.44

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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.