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Finding the Fourth Proportional to 383,091.50, 527,786 and 302,489.62

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Solution

The fourth proportional to 383,091.50, 527,786 and 302,489.62 is: 416,740.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,091.50 : 527,786 = 302,489.62 : x
  2. Step 2: Convert to fraction form
    383,091.50/527,786 = 302,489.62/x
  3. Step 3: Cross multiply
    383,091.50x = 527,786 × 302,489.62
  4. Step 4: Simplify right side
    383,091.50x = 159,649,786,581.32
  5. Step 5: Solve for x
    x = 159,649,786,581.32/383,091.50
  6. Step 6: Final answer
    x = 416,740.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.