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Finding the Fourth Proportional to 281,897.82, 422,824.67 and 79,485.75

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Solution

The fourth proportional to 281,897.82, 422,824.67 and 79,485.75 is: 119,222.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,897.82 : 422,824.67 = 79,485.75 : x
  2. Step 2: Convert to fraction form
    281,897.82/422,824.67 = 79,485.75/x
  3. Step 3: Cross multiply
    281,897.82x = 422,824.67 × 79,485.75
  4. Step 4: Simplify right side
    281,897.82x = 33,608,536,013.45
  5. Step 5: Solve for x
    x = 33,608,536,013.45/281,897.82
  6. Step 6: Final answer
    x = 119,222.40

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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.