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Finding the Fourth Proportional to 492,794.75, 739,272.02 and 193,112.84

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Solution

The fourth proportional to 492,794.75, 739,272.02 and 193,112.84 is: 289,700.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,794.75 : 739,272.02 = 193,112.84 : x
  2. Step 2: Convert to fraction form
    492,794.75/739,272.02 = 193,112.84/x
  3. Step 3: Cross multiply
    492,794.75x = 739,272.02 × 193,112.84
  4. Step 4: Simplify right side
    492,794.75x = 142,762,920,197.35
  5. Step 5: Solve for x
    x = 142,762,920,197.35/492,794.75
  6. Step 6: Final answer
    x = 289,700.57

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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.