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Finding the Fourth Proportional to 311,416.80, 467,125.20 and 305,511.90

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Solution

The fourth proportional to 311,416.80, 467,125.20 and 305,511.90 is: 458,267.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,416.80 : 467,125.20 = 305,511.90 : x
  2. Step 2: Convert to fraction form
    311,416.80/467,125.20 = 305,511.90/x
  3. Step 3: Cross multiply
    311,416.80x = 467,125.20 × 305,511.90
  4. Step 4: Simplify right side
    311,416.80x = 142,712,307,389.88
  5. Step 5: Solve for x
    x = 142,712,307,389.88/311,416.80
  6. Step 6: Final answer
    x = 458,267.85

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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.