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Finding the Fourth Proportional to 287,198.63, 430,797.74 and 129,242.55

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Solution

The fourth proportional to 287,198.63, 430,797.74 and 129,242.55 is: 193,863.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,198.63 : 430,797.74 = 129,242.55 : x
  2. Step 2: Convert to fraction form
    287,198.63/430,797.74 = 129,242.55/x
  3. Step 3: Cross multiply
    287,198.63x = 430,797.74 × 129,242.55
  4. Step 4: Simplify right side
    287,198.63x = 55,677,397,805.62
  5. Step 5: Solve for x
    x = 55,677,397,805.62/287,198.63
  6. Step 6: Final answer
    x = 193,863.73

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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.