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Finding the Fourth Proportional to 475,780, 656,576.40 and 263,812

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Solution

The fourth proportional to 475,780, 656,576.40 and 263,812 is: 364,060.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,780 : 656,576.40 = 263,812 : x
  2. Step 2: Convert to fraction form
    475,780/656,576.40 = 263,812/x
  3. Step 3: Cross multiply
    475,780x = 656,576.40 × 263,812
  4. Step 4: Simplify right side
    475,780x = 173,212,733,236.80
  5. Step 5: Solve for x
    x = 173,212,733,236.80/475,780
  6. Step 6: Final answer
    x = 364,060.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.