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Finding the Fourth Proportional to 311,876.82, 430,389.35 and 175,910.34

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Solution

The fourth proportional to 311,876.82, 430,389.35 and 175,910.34 is: 242,755.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,876.82 : 430,389.35 = 175,910.34 : x
  2. Step 2: Convert to fraction form
    311,876.82/430,389.35 = 175,910.34/x
  3. Step 3: Cross multiply
    311,876.82x = 430,389.35 × 175,910.34
  4. Step 4: Simplify right side
    311,876.82x = 75,709,936,890.88
  5. Step 5: Solve for x
    x = 75,709,936,890.88/311,876.82
  6. Step 6: Final answer
    x = 242,755.90

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1.5x scale

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.