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Finding the Fourth Proportional to 862,689.88, 1,294,190.70 and 294,039.64

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Solution

The fourth proportional to 862,689.88, 1,294,190.70 and 294,039.64 is: 441,112.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,689.88 : 1,294,190.70 = 294,039.64 : x
  2. Step 2: Convert to fraction form
    862,689.88/1,294,190.70 = 294,039.64/x
  3. Step 3: Cross multiply
    862,689.88x = 1,294,190.70 × 294,039.64
  4. Step 4: Simplify right side
    862,689.88x = 380,543,367,519.35
  5. Step 5: Solve for x
    x = 380,543,367,519.35/862,689.88
  6. Step 6: Final answer
    x = 441,112.59

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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.