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Finding the Fourth Proportional to 278,662.74, 417,912.04 and 79,000.57

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Solution

The fourth proportional to 278,662.74, 417,912.04 and 79,000.57 is: 118,477.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,662.74 : 417,912.04 = 79,000.57 : x
  2. Step 2: Convert to fraction form
    278,662.74/417,912.04 = 79,000.57/x
  3. Step 3: Cross multiply
    278,662.74x = 417,912.04 × 79,000.57
  4. Step 4: Simplify right side
    278,662.74x = 33,015,289,369.86
  5. Step 5: Solve for x
    x = 33,015,289,369.86/278,662.74
  6. Step 6: Final answer
    x = 118,477.59

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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.