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Finding the Fourth Proportional to 311,694.80, 430,084.20 and 184,323.92

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Solution

The fourth proportional to 311,694.80, 430,084.20 and 184,323.92 is: 254,334.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,694.80 : 430,084.20 = 184,323.92 : x
  2. Step 2: Convert to fraction form
    311,694.80/430,084.20 = 184,323.92/x
  3. Step 3: Cross multiply
    311,694.80x = 430,084.20 × 184,323.92
  4. Step 4: Simplify right side
    311,694.80x = 79,274,805,674.06
  5. Step 5: Solve for x
    x = 79,274,805,674.06/311,694.80
  6. Step 6: Final answer
    x = 254,334.71

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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.