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Finding the Fourth Proportional to 278,735.79, 418,103.70 and 120,960.75

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Solution

The fourth proportional to 278,735.79, 418,103.70 and 120,960.75 is: 181,441.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,735.79 : 418,103.70 = 120,960.75 : x
  2. Step 2: Convert to fraction form
    278,735.79/418,103.70 = 120,960.75/x
  3. Step 3: Cross multiply
    278,735.79x = 418,103.70 × 120,960.75
  4. Step 4: Simplify right side
    278,735.79x = 50,574,137,129.78
  5. Step 5: Solve for x
    x = 50,574,137,129.78/278,735.79
  6. Step 6: Final answer
    x = 181,441.13

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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.