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Finding the Fourth Proportional to 323,611.30, 486,000.15 and 313,113.70

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Solution

The fourth proportional to 323,611.30, 486,000.15 and 313,113.70 is: 470,234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,611.30 : 486,000.15 = 313,113.70 : x
  2. Step 2: Convert to fraction form
    323,611.30/486,000.15 = 313,113.70/x
  3. Step 3: Cross multiply
    323,611.30x = 486,000.15 × 313,113.70
  4. Step 4: Simplify right side
    323,611.30x = 152,173,305,167.06
  5. Step 5: Solve for x
    x = 152,173,305,167.06/323,611.30
  6. Step 6: Final answer
    x = 470,234.83

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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.