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Finding the Fourth Proportional to 311,880.70, 467,821.05 and 311,880.70

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Solution

The fourth proportional to 311,880.70, 467,821.05 and 311,880.70 is: 467,821.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,880.70 : 467,821.05 = 311,880.70 : x
  2. Step 2: Convert to fraction form
    311,880.70/467,821.05 = 311,880.70/x
  3. Step 3: Cross multiply
    311,880.70x = 467,821.05 × 311,880.70
  4. Step 4: Simplify right side
    311,880.70x = 145,904,356,548.74
  5. Step 5: Solve for x
    x = 145,904,356,548.74/311,880.70
  6. Step 6: Final answer
    x = 467,821.05

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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.