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Finding the Fourth Proportional to 311,580.94, 429,981.12 and 168,340.54

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Solution

The fourth proportional to 311,580.94, 429,981.12 and 168,340.54 is: 232,309.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,580.94 : 429,981.12 = 168,340.54 : x
  2. Step 2: Convert to fraction form
    311,580.94/429,981.12 = 168,340.54/x
  3. Step 3: Cross multiply
    311,580.94x = 429,981.12 × 168,340.54
  4. Step 4: Simplify right side
    311,580.94x = 72,383,253,930.60
  5. Step 5: Solve for x
    x = 72,383,253,930.60/311,580.94
  6. Step 6: Final answer
    x = 232,309.63

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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.