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Finding the Fourth Proportional to 409,806.62, 614,709.92 and 110,287.86

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Solution

The fourth proportional to 409,806.62, 614,709.92 and 110,287.86 is: 165,431.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,806.62 : 614,709.92 = 110,287.86 : x
  2. Step 2: Convert to fraction form
    409,806.62/614,709.92 = 110,287.86/x
  3. Step 3: Cross multiply
    409,806.62x = 614,709.92 × 110,287.86
  4. Step 4: Simplify right side
    409,806.62x = 67,795,041,597.57
  5. Step 5: Solve for x
    x = 67,795,041,597.57/409,806.62
  6. Step 6: Final answer
    x = 165,431.79

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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.