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Finding the Fourth Proportional to 279,431.86, 418,912.68 and 121,541.40

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Solution

The fourth proportional to 279,431.86, 418,912.68 and 121,541.40 is: 182,209.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,431.86 : 418,912.68 = 121,541.40 : x
  2. Step 2: Convert to fraction form
    279,431.86/418,912.68 = 121,541.40/x
  3. Step 3: Cross multiply
    279,431.86x = 418,912.68 × 121,541.40
  4. Step 4: Simplify right side
    279,431.86x = 50,915,233,604.95
  5. Step 5: Solve for x
    x = 50,915,233,604.95/279,431.86
  6. Step 6: Final answer
    x = 182,209.84

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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.