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Finding the Fourth Proportional to 278,886, 419,846.43 and 254,085.42

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Solution

The fourth proportional to 278,886, 419,846.43 and 254,085.42 is: 382,510.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,886 : 419,846.43 = 254,085.42 : x
  2. Step 2: Convert to fraction form
    278,886/419,846.43 = 254,085.42/x
  3. Step 3: Cross multiply
    278,886x = 419,846.43 × 254,085.42
  4. Step 4: Simplify right side
    278,886x = 106,676,856,502.05
  5. Step 5: Solve for x
    x = 106,676,856,502.05/278,886
  6. Step 6: Final answer
    x = 382,510.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.