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Finding the Fourth Proportional to 278,712.77, 419,928.57 and 252,089.48

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Solution

The fourth proportional to 278,712.77, 419,928.57 and 252,089.48 is: 379,816.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,712.77 : 419,928.57 = 252,089.48 : x
  2. Step 2: Convert to fraction form
    278,712.77/419,928.57 = 252,089.48/x
  3. Step 3: Cross multiply
    278,712.77x = 419,928.57 × 252,089.48
  4. Step 4: Simplify right side
    278,712.77x = 105,859,572,748.80
  5. Step 5: Solve for x
    x = 105,859,572,748.80/278,712.77
  6. Step 6: Final answer
    x = 379,816.02

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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.