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Finding the Fourth Proportional to 278,823.81, 418,234.90 and 79,144.37

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Solution

The fourth proportional to 278,823.81, 418,234.90 and 79,144.37 is: 118,716.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,823.81 : 418,234.90 = 79,144.37 : x
  2. Step 2: Convert to fraction form
    278,823.81/418,234.90 = 79,144.37/x
  3. Step 3: Cross multiply
    278,823.81x = 418,234.90 × 79,144.37
  4. Step 4: Simplify right side
    278,823.81x = 33,100,937,672.51
  5. Step 5: Solve for x
    x = 33,100,937,672.51/278,823.81
  6. Step 6: Final answer
    x = 118,716.32

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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.