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Finding the Fourth Proportional to 285,638.83, 428,759.76 and 279,204.95

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Solution

The fourth proportional to 285,638.83, 428,759.76 and 279,204.95 is: 419,102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,638.83 : 428,759.76 = 279,204.95 : x
  2. Step 2: Convert to fraction form
    285,638.83/428,759.76 = 279,204.95/x
  3. Step 3: Cross multiply
    285,638.83x = 428,759.76 × 279,204.95
  4. Step 4: Simplify right side
    285,638.83x = 119,711,845,910.05
  5. Step 5: Solve for x
    x = 119,711,845,910.05/285,638.83
  6. Step 6: Final answer
    x = 419,102.14

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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.