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Finding the Fourth Proportional to 259,446.40, 389,121.60 and 72,419.20

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Solution

The fourth proportional to 259,446.40, 389,121.60 and 72,419.20 is: 108,615.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,446.40 : 389,121.60 = 72,419.20 : x
  2. Step 2: Convert to fraction form
    259,446.40/389,121.60 = 72,419.20/x
  3. Step 3: Cross multiply
    259,446.40x = 389,121.60 × 72,419.20
  4. Step 4: Simplify right side
    259,446.40x = 28,179,874,974.72
  5. Step 5: Solve for x
    x = 28,179,874,974.72/259,446.40
  6. Step 6: Final answer
    x = 108,615.40

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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.