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Finding the Fourth Proportional to 259,436.40, 388,938.60 and 109,791.60

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Solution

The fourth proportional to 259,436.40, 388,938.60 and 109,791.60 is: 164,595.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,436.40 : 388,938.60 = 109,791.60 : x
  2. Step 2: Convert to fraction form
    259,436.40/388,938.60 = 109,791.60/x
  3. Step 3: Cross multiply
    259,436.40x = 388,938.60 × 109,791.60
  4. Step 4: Simplify right side
    259,436.40x = 42,702,191,195.76
  5. Step 5: Solve for x
    x = 42,702,191,195.76/259,436.40
  6. Step 6: Final answer
    x = 164,595.99

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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.