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Finding the Fourth Proportional to 446,778.24, 669,205.44 and 209,765.76

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Solution

The fourth proportional to 446,778.24, 669,205.44 and 209,765.76 is: 314,197.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,778.24 : 669,205.44 = 209,765.76 : x
  2. Step 2: Convert to fraction form
    446,778.24/669,205.44 = 209,765.76/x
  3. Step 3: Cross multiply
    446,778.24x = 669,205.44 × 209,765.76
  4. Step 4: Simplify right side
    446,778.24x = 140,376,387,717.73
  5. Step 5: Solve for x
    x = 140,376,387,717.73/446,778.24
  6. Step 6: Final answer
    x = 314,197.01

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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.