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Finding the Fourth Proportional to 654,043.36, 902,422.20 and 381,956.80

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Solution

The fourth proportional to 654,043.36, 902,422.20 and 381,956.80 is: 527,008.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,043.36 : 902,422.20 = 381,956.80 : x
  2. Step 2: Convert to fraction form
    654,043.36/902,422.20 = 381,956.80/x
  3. Step 3: Cross multiply
    654,043.36x = 902,422.20 × 381,956.80
  4. Step 4: Simplify right side
    654,043.36x = 344,686,295,760.96
  5. Step 5: Solve for x
    x = 344,686,295,760.96/654,043.36
  6. Step 6: Final answer
    x = 527,008.33

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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.