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Finding the Fourth Proportional to 311,951.78, 430,546.42 and 176,024.26

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Solution

The fourth proportional to 311,951.78, 430,546.42 and 176,024.26 is: 242,943.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,951.78 : 430,546.42 = 176,024.26 : x
  2. Step 2: Convert to fraction form
    311,951.78/430,546.42 = 176,024.26/x
  3. Step 3: Cross multiply
    311,951.78x = 430,546.42 × 176,024.26
  4. Step 4: Simplify right side
    311,951.78x = 75,786,614,976.15
  5. Step 5: Solve for x
    x = 75,786,614,976.15/311,951.78
  6. Step 6: Final answer
    x = 242,943.36

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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.