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Finding the Fourth Proportional to 446,773.50, 670,685.13 and 278,680.68

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Solution

The fourth proportional to 446,773.50, 670,685.13 and 278,680.68 is: 418,348.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,773.50 : 670,685.13 = 278,680.68 : x
  2. Step 2: Convert to fraction form
    446,773.50/670,685.13 = 278,680.68/x
  3. Step 3: Cross multiply
    446,773.50x = 670,685.13 × 278,680.68
  4. Step 4: Simplify right side
    446,773.50x = 186,906,985,032.30
  5. Step 5: Solve for x
    x = 186,906,985,032.30/446,773.50
  6. Step 6: Final answer
    x = 418,348.42

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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.