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Finding the Fourth Proportional to 311,776, 430,251.04 and 177,640

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Solution

The fourth proportional to 311,776, 430,251.04 and 177,640 is: 245,143.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,776 : 430,251.04 = 177,640 : x
  2. Step 2: Convert to fraction form
    311,776/430,251.04 = 177,640/x
  3. Step 3: Cross multiply
    311,776x = 430,251.04 × 177,640
  4. Step 4: Simplify right side
    311,776x = 76,429,794,745.60
  5. Step 5: Solve for x
    x = 76,429,794,745.60/311,776
  6. Step 6: Final answer
    x = 245,143.29

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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.