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Finding the Fourth Proportional to 311,874.90, 467,812.35 and 280,382.10

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Solution

The fourth proportional to 311,874.90, 467,812.35 and 280,382.10 is: 420,573.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,874.90 : 467,812.35 = 280,382.10 : x
  2. Step 2: Convert to fraction form
    311,874.90/467,812.35 = 280,382.10/x
  3. Step 3: Cross multiply
    311,874.90x = 467,812.35 × 280,382.10
  4. Step 4: Simplify right side
    311,874.90x = 131,166,209,098.94
  5. Step 5: Solve for x
    x = 131,166,209,098.94/311,874.90
  6. Step 6: Final answer
    x = 420,573.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.