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Finding the Fourth Proportional to 654,081.36, 902,474.64 and 381,994.80

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Solution

The fourth proportional to 654,081.36, 902,474.64 and 381,994.80 is: 527,060.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,081.36 : 902,474.64 = 381,994.80 : x
  2. Step 2: Convert to fraction form
    654,081.36/902,474.64 = 381,994.80/x
  3. Step 3: Cross multiply
    654,081.36x = 902,474.64 × 381,994.80
  4. Step 4: Simplify right side
    654,081.36x = 344,740,619,611.87
  5. Step 5: Solve for x
    x = 344,740,619,611.87/654,081.36
  6. Step 6: Final answer
    x = 527,060.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.