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Finding the Fourth Proportional to 278,740.70, 418,149.45 and 120,964.70

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Solution

The fourth proportional to 278,740.70, 418,149.45 and 120,964.70 is: 181,463.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,740.70 : 418,149.45 = 120,964.70 : x
  2. Step 2: Convert to fraction form
    278,740.70/418,149.45 = 120,964.70/x
  3. Step 3: Cross multiply
    278,740.70x = 418,149.45 × 120,964.70
  4. Step 4: Simplify right side
    278,740.70x = 50,581,322,774.42
  5. Step 5: Solve for x
    x = 50,581,322,774.42/278,740.70
  6. Step 6: Final answer
    x = 181,463.71

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1.5x scale

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.