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Finding the Fourth Proportional to 412,924.76, 618,968.82 and 279,818.48

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Solution

The fourth proportional to 412,924.76, 618,968.82 and 279,818.48 is: 419,444.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,924.76 : 618,968.82 = 279,818.48 : x
  2. Step 2: Convert to fraction form
    412,924.76/618,968.82 = 279,818.48/x
  3. Step 3: Cross multiply
    412,924.76x = 618,968.82 × 279,818.48
  4. Step 4: Simplify right side
    412,924.76x = 173,198,914,379.79
  5. Step 5: Solve for x
    x = 173,198,914,379.79/412,924.76
  6. Step 6: Final answer
    x = 419,444.25

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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.