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Finding the Fourth Proportional to 311,771.62, 430,249.35 and 175,812.04

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Solution

The fourth proportional to 311,771.62, 430,249.35 and 175,812.04 is: 242,623.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,771.62 : 430,249.35 = 175,812.04 : x
  2. Step 2: Convert to fraction form
    311,771.62/430,249.35 = 175,812.04/x
  3. Step 3: Cross multiply
    311,771.62x = 430,249.35 × 175,812.04
  4. Step 4: Simplify right side
    311,771.62x = 75,643,015,932.17
  5. Step 5: Solve for x
    x = 75,643,015,932.17/311,771.62
  6. Step 6: Final answer
    x = 242,623.16

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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.