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Finding the Fourth Proportional to 278,708.88, 418,034.84 and 76,322.98

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Solution

The fourth proportional to 278,708.88, 418,034.84 and 76,322.98 is: 114,476.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,708.88 : 418,034.84 = 76,322.98 : x
  2. Step 2: Convert to fraction form
    278,708.88/418,034.84 = 76,322.98/x
  3. Step 3: Cross multiply
    278,708.88x = 418,034.84 × 76,322.98
  4. Step 4: Simplify right side
    278,708.88x = 31,905,664,732.62
  5. Step 5: Solve for x
    x = 31,905,664,732.62/278,708.88
  6. Step 6: Final answer
    x = 114,476.67

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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.