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Finding the Fourth Proportional to 278,887.50, 419,848.70 and 254,086.92

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Solution

The fourth proportional to 278,887.50, 419,848.70 and 254,086.92 is: 382,512.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,887.50 : 419,848.70 = 254,086.92 : x
  2. Step 2: Convert to fraction form
    278,887.50/419,848.70 = 254,086.92/x
  3. Step 3: Cross multiply
    278,887.50x = 419,848.70 × 254,086.92
  4. Step 4: Simplify right side
    278,887.50x = 106,678,061,778.57
  5. Step 5: Solve for x
    x = 106,678,061,778.57/278,887.50
  6. Step 6: Final answer
    x = 382,512.88

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1.5x scale

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.