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Finding the Fourth Proportional to 265,909, 398,639.79 and 123,682.03

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Solution

The fourth proportional to 265,909, 398,639.79 and 123,682.03 is: 185,418.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,909 : 398,639.79 = 123,682.03 : x
  2. Step 2: Convert to fraction form
    265,909/398,639.79 = 123,682.03/x
  3. Step 3: Cross multiply
    265,909x = 398,639.79 × 123,682.03
  4. Step 4: Simplify right side
    265,909x = 49,304,578,465.97
  5. Step 5: Solve for x
    x = 49,304,578,465.97/265,909
  6. Step 6: Final answer
    x = 185,418.99

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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.