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Finding the Fourth Proportional to 259,471.31, 389,223.38 and 109,683.68

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Solution

The fourth proportional to 259,471.31, 389,223.38 and 109,683.68 is: 164,532.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,471.31 : 389,223.38 = 109,683.68 : x
  2. Step 2: Convert to fraction form
    259,471.31/389,223.38 = 109,683.68/x
  3. Step 3: Cross multiply
    259,471.31x = 389,223.38 × 109,683.68
  4. Step 4: Simplify right side
    259,471.31x = 42,691,450,988.53
  5. Step 5: Solve for x
    x = 42,691,450,988.53/259,471.31
  6. Step 6: Final answer
    x = 164,532.46

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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.