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Finding the Fourth Proportional to 446,396.94, 669,025.98 and 209,217.06

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Solution

The fourth proportional to 446,396.94, 669,025.98 and 209,217.06 is: 313,558.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,396.94 : 669,025.98 = 209,217.06 : x
  2. Step 2: Convert to fraction form
    446,396.94/669,025.98 = 209,217.06/x
  3. Step 3: Cross multiply
    446,396.94x = 669,025.98 × 209,217.06
  4. Step 4: Simplify right side
    446,396.94x = 139,971,648,599.22
  5. Step 5: Solve for x
    x = 139,971,648,599.22/446,396.94
  6. Step 6: Final answer
    x = 313,558.71

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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.