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Finding the Fourth Proportional to 306,819, 460,234.26 and 85,208.76

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Solution

The fourth proportional to 306,819, 460,234.26 and 85,208.76 is: 127,814.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,819 : 460,234.26 = 85,208.76 : x
  2. Step 2: Convert to fraction form
    306,819/460,234.26 = 85,208.76/x
  3. Step 3: Cross multiply
    306,819x = 460,234.26 × 85,208.76
  4. Step 4: Simplify right side
    306,819x = 39,215,990,604.12
  5. Step 5: Solve for x
    x = 39,215,990,604.12/306,819
  6. Step 6: Final answer
    x = 127,814.74

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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.