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Finding the Fourth Proportional to 492,815.70, 738,676.80 and 193,196.70

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Solution

The fourth proportional to 492,815.70, 738,676.80 and 193,196.70 is: 289,580.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,815.70 : 738,676.80 = 193,196.70 : x
  2. Step 2: Convert to fraction form
    492,815.70/738,676.80 = 193,196.70/x
  3. Step 3: Cross multiply
    492,815.70x = 738,676.80 × 193,196.70
  4. Step 4: Simplify right side
    492,815.70x = 142,709,920,126.56
  5. Step 5: Solve for x
    x = 142,709,920,126.56/492,815.70
  6. Step 6: Final answer
    x = 289,580.71

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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.