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Finding the Fourth Proportional to 446,503.20, 669,828.60 and 206,856.60

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Solution

The fourth proportional to 446,503.20, 669,828.60 and 206,856.60 is: 310,319.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,503.20 : 669,828.60 = 206,856.60 : x
  2. Step 2: Convert to fraction form
    446,503.20/669,828.60 = 206,856.60/x
  3. Step 3: Cross multiply
    446,503.20x = 669,828.60 × 206,856.60
  4. Step 4: Simplify right side
    446,503.20x = 138,558,466,778.76
  5. Step 5: Solve for x
    x = 138,558,466,778.76/446,503.20
  6. Step 6: Final answer
    x = 310,319.09

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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.