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Finding the Fourth Proportional to 311,894.95, 430,414.72 and 168,654.63

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Solution

The fourth proportional to 311,894.95, 430,414.72 and 168,654.63 is: 232,743.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,894.95 : 430,414.72 = 168,654.63 : x
  2. Step 2: Convert to fraction form
    311,894.95/430,414.72 = 168,654.63/x
  3. Step 3: Cross multiply
    311,894.95x = 430,414.72 × 168,654.63
  4. Step 4: Simplify right side
    311,894.95x = 72,591,434,504.88
  5. Step 5: Solve for x
    x = 72,591,434,504.88/311,894.95
  6. Step 6: Final answer
    x = 232,743.22

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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.