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Finding the Fourth Proportional to 311,878.30, 430,286.34 and 254,418.30

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Solution

The fourth proportional to 311,878.30, 430,286.34 and 254,418.30 is: 351,011.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,878.30 : 430,286.34 = 254,418.30 : x
  2. Step 2: Convert to fraction form
    311,878.30/430,286.34 = 254,418.30/x
  3. Step 3: Cross multiply
    311,878.30x = 430,286.34 × 254,418.30
  4. Step 4: Simplify right side
    311,878.30x = 109,472,718,715.03
  5. Step 5: Solve for x
    x = 109,472,718,715.03/311,878.30
  6. Step 6: Final answer
    x = 351,011.01

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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.