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Finding the Fourth Proportional to 446,506.20, 669,833.10 and 206,859.60

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Solution

The fourth proportional to 446,506.20, 669,833.10 and 206,859.60 is: 310,323.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,506.20 : 669,833.10 = 206,859.60 : x
  2. Step 2: Convert to fraction form
    446,506.20/669,833.10 = 206,859.60/x
  3. Step 3: Cross multiply
    446,506.20x = 669,833.10 × 206,859.60
  4. Step 4: Simplify right side
    446,506.20x = 138,561,407,132.76
  5. Step 5: Solve for x
    x = 138,561,407,132.76/446,506.20
  6. Step 6: Final answer
    x = 310,323.59

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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.