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Finding the Fourth Proportional to 446,436.52, 669,640.74 and 109,478.20

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Solution

The fourth proportional to 446,436.52, 669,640.74 and 109,478.20 is: 164,213.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,436.52 : 669,640.74 = 109,478.20 : x
  2. Step 2: Convert to fraction form
    446,436.52/669,640.74 = 109,478.20/x
  3. Step 3: Cross multiply
    446,436.52x = 669,640.74 × 109,478.20
  4. Step 4: Simplify right side
    446,436.52x = 73,311,062,861.87
  5. Step 5: Solve for x
    x = 73,311,062,861.87/446,436.52
  6. Step 6: Final answer
    x = 164,213.86

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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.