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Finding the Fourth Proportional to 311,951.72, 430,493.67 and 168,711.76

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Solution

The fourth proportional to 311,951.72, 430,493.67 and 168,711.76 is: 232,822.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,951.72 : 430,493.67 = 168,711.76 : x
  2. Step 2: Convert to fraction form
    311,951.72/430,493.67 = 168,711.76/x
  3. Step 3: Cross multiply
    311,951.72x = 430,493.67 × 168,711.76
  4. Step 4: Simplify right side
    311,951.72x = 72,629,345,272.68
  5. Step 5: Solve for x
    x = 72,629,345,272.68/311,951.72
  6. Step 6: Final answer
    x = 232,822.39

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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.