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Finding the Fourth Proportional to 311,878.87, 430,287.12 and 254,418.86

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Solution

The fourth proportional to 311,878.87, 430,287.12 and 254,418.86 is: 351,011.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,878.87 : 430,287.12 = 254,418.86 : x
  2. Step 2: Convert to fraction form
    311,878.87/430,287.12 = 254,418.86/x
  3. Step 3: Cross multiply
    311,878.87x = 430,287.12 × 254,418.86
  4. Step 4: Simplify right side
    311,878.87x = 109,473,158,005.22
  5. Step 5: Solve for x
    x = 109,473,158,005.22/311,878.87
  6. Step 6: Final answer
    x = 351,011.79

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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.