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Finding the Fourth Proportional to 311,879.87, 430,288.50 and 254,419.86

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Solution

The fourth proportional to 311,879.87, 430,288.50 and 254,419.86 is: 351,013.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,879.87 : 430,288.50 = 254,419.86 : x
  2. Step 2: Convert to fraction form
    311,879.87/430,288.50 = 254,419.86/x
  3. Step 3: Cross multiply
    311,879.87x = 430,288.50 × 254,419.86
  4. Step 4: Simplify right side
    311,879.87x = 109,473,939,929.61
  5. Step 5: Solve for x
    x = 109,473,939,929.61/311,879.87
  6. Step 6: Final answer
    x = 351,013.16

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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.